(%i1) batch("diffeq.max")
read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max
(%i2) load("stringproc")
(%o2) /usr/share/maxima/5.31.3/share/stringproc/stringproc.mac
(%i3) alias(convfloat,float)
(%o3) [convfloat]
(%i4) alias(int_trunc,truncate)
(%o4) [truncate]
(%i5) alias(elapsed_time_seconds,elapsed_real_time)
(%o5) [elapsed_time_seconds]
(%i6) alias(ln,log)
(%o6) [log]
(%i7) alias(arcsin,asin)
(%o7) [asin]
(%i8) alias(arccos,acos)
(%o8) [acos]
(%i9) alias(arctan,atan)
(%o9) [atan]
(%i10) alias(float_abs,abs)
(%o10) [mabs]
(%i11) keepfloat:true
(%o11) true
(%i12) mode_declare(display_poles(),fixnum)
(%o12) [display_poles()]
(%i13) mode_declare(est_size_answer(),convfloat)
(%o13) [est_size_answer()]
(%i14) mode_declare(test_suggested_h(),convfloat)
(%o14) [test_suggested_h()]
(%i15) mode_declare(reached_interval(),boolean)
(%o15) [reached_interval()]
(%i16) mode_declare(display_alot([iter],fixnum),fixnum)
(%o16) [display_alot([iter], fixnum)]
(%i17) mode_declare(adjust_for_pole([h_param],convfloat),convfloat)
(%o17) [adjust_for_pole([h_param], convfloat)]
(%i18) mode_declare(prog_report([x_start],convfloat,[x_end],convfloat),fixnum)
(%o18) [prog_report([x_start], convfloat, [x_end], convfloat)]
(%i19) mode_declare(check_for_pole(),fixnum)
(%o19) [check_for_pole()]
(%i20) mode_declare(atomall(),fixnum)
(%o20) [atomall()]
(%i21) mode_declare(log10([x],convfloat),convfloat)
(%o21) [log10([x], convfloat)]
(%i22) mode_declare(logitem_timestr([fd],fixnum,[secs_in],number),fixnum)
(%o22) [logitem_timestr([fd], fixnum, [secs_in], number)]
(%i23) mode_declare(omniout_timestr(secs_in,number),fixnum)
(%o23) [omniout_timestr(secs_in, number)]
(%i24) mode_declare(zero_ats_ar(ar,array([MAX_TERMS],convfloat)),fixnum)
(%o24) [zero_ats_ar(ar, array([MAX_TERMS], convfloat))]
(%i25) mode_declare(ats([mmm_ats],fixnum,[arr_a],
completearray([MAX_TERMS],convfloat),[arr_b],
completearray([MAX_TERMS],convfloat),[jjj_ats],
fixnum),convfloat)
(%o25) [ats([mmm_ats], fixnum, [arr_a], completearray([MAX_TERMS], convfloat),
[arr_b], completearray([MAX_TERMS], convfloat), [jjj_ats], fixnum)]
(%i26) mode_declare(att([mmm_att],fixnum,[arr_a],
completearray([MAX_TERMS],convfloat),[arr_b],
completearray([MAX_TERMS],convfloat),[jjj_att],
fixnum),convfloat)
(%o26) [att([mmm_att], fixnum, [arr_a], completearray([MAX_TERMS], convfloat),
[arr_b], completearray([MAX_TERMS], convfloat), [jjj_att], fixnum)]
(%i27) mode_declare(logitem_ditto([file],fixnum),fixnum)
(%o27) [logitem_ditto([file], fixnum)]
(%i28) mode_declare(logitem_integer([file],fixnum,[n],fixnum),fixnum)
(%o28) [logitem_integer([file], fixnum, [n], fixnum)]
(%i29) mode_declare(logitem_good_digits([file],fixnum,[relerror],convfloat),fixnum)
(%o29) [logitem_good_digits([file], fixnum, [relerror], convfloat)]
(%i30) mode_declare(logitem_number([file],fixnum,[x],number),fixnum)
(%o30) [logitem_number([file], fixnum, [x], number)]
(%i31) mode_declare(logitem_pole([file],fixnum,[pole],fixnum),fixnum)
(%o31) [logitem_pole([file], fixnum, [pole], fixnum)]
(%i32) mode_declare(logstart([file],fixnum),fixnum)
(%o32) [logstart([file], fixnum)]
(%i33) mode_declare(logend([file],fixnum),fixnum)
(%o33) [logend([file], fixnum)]
(%i34) mode_declare(chk_data(),fixnum)
(%o34) [chk_data()]
(%i35) mode_declare(comp_expect_sec([t_end2],convfloat,[t_start2],convfloat,
[t2],convfloat,[clock_sec2],convfloat),
convfloat)
(%o35) [comp_expect_sec([t_end2], convfloat, [t_start2], convfloat, [t2],
convfloat, [clock_sec2], convfloat)]
(%i36) mode_declare(comp_percent([t_end2],convfloat,[start2],convfloat,[t2],
convfloat),convfloat)
(%o36) [comp_percent([t_end2], convfloat, [start2], convfloat, [t2],
convfloat)]
(%i37) mode_declare(comp_rad_from_ratio([term1],convfloat,[term2],convfloat,
[last_no],fixnum),convfloat)
(%o37) [comp_rad_from_ratio([term1], convfloat, [term2], convfloat, [last_no],
fixnum)]
(%i38) mode_declare(comp_ord_from_ratio([term1],convfloat,[term2],convfloat,
[last_no],fixnum),convfloat)
(%o38) [comp_ord_from_ratio([term1], convfloat, [term2], convfloat, [last_no],
fixnum)]
(%i39) mode_declare(comp_rad_from_three_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[last_no],fixnum),convfloat)
(%o39) [comp_rad_from_three_terms([term1], convfloat, [term2], convfloat,
[term3], convfloat, [last_no], fixnum)]
(%i40) mode_declare(comp_ord_from_three_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[last_no],fixnum),convfloat)
(%o40) [comp_ord_from_three_terms([term1], convfloat, [term2], convfloat,
[term3], convfloat, [last_no], fixnum)]
(%i41) mode_declare(comp_rad_from_six_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[term4],convfloat,[term5],
convfloat,[term6],convfloat,
[last_no],fixnum),convfloat)
(%o41) [comp_rad_from_six_terms([term1], convfloat, [term2], convfloat,
[term3], convfloat, [term4], convfloat, [term5], convfloat, [term6],
convfloat, [last_no], fixnum)]
(%i42) mode_declare(comp_ord_from_six_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[term4],convfloat,[term5],
convfloat,[term6],convfloat,
[last_no],fixnum),convfloat)
(%o42) [comp_ord_from_six_terms([term1], convfloat, [term2], convfloat,
[term3], convfloat, [term4], convfloat, [term5], convfloat, [term6],
convfloat, [last_no], fixnum)]
(%i43) mode_declare(factorial_2([nnn],fixnum),fixnum)
(%o43) [factorial_2([nnn], fixnum)]
(%i44) mode_declare(factorial_1([nnn],fixnum),fixnum)
(%o44) [factorial_1([nnn], fixnum)]
(%i45) mode_declare(factorial_3([mmm],fixnum,[nnn],fixnum),fixnum)
(%o45) [factorial_3([mmm], fixnum, [nnn], fixnum)]
(%i46) mode_declare(convfloat([mmm],fixnum),convfloat)
(%o46) [convfloat([mmm], fixnum)]
(%i47) mode_declare(elaped_time_seconds(),convfloat)
(%o47) [elaped_time_seconds()]
(%i48) mode_declare(Si([x],convfloat),convfloat)
(%o48) [Si([x], convfloat)]
(%i49) mode_declare(Ci([x],convfloat),convfloat)
(%o49) [Ci([x], convfloat)]
(%i50) mode_declare(estimated_needed_step_error([x_start],convfloat,[x_end],
convfloat,[estimated_h],
convfloat,[estimated_answer],
convfloat),convfloat)
(%o50) [estimated_needed_step_error([x_start], convfloat, [x_end], convfloat,
[estimated_h], convfloat, [estimated_answer], convfloat)]
(%i51) mode_declare(my_check_sign([x0],convfloat,[xf],convfloat),convfloat)
(%o51) [my_check_sign([x0], convfloat, [xf], convfloat)]
(%i52) mode_declare(main_prog(),fixnum)
(%o52) [main_prog()]
(%i53) define_variable(MAX_TERMS,30,fixnum)
(%o53) 30
(%i54) define_variable(glob_iolevel,5,fixnum)
(%o54) 5
(%i55) define_variable(glob_yes_pole,4,fixnum)
(%o55) 4
(%i56) define_variable(glob_no_pole,3,fixnum)
(%o56) 3
(%i57) define_variable(glob_not_given,0,fixnum)
(%o57) 0
(%i58) define_variable(glob_no_sing_tests,4,fixnum)
(%o58) 4
(%i59) define_variable(glob_ratio_test,1,fixnum)
(%o59) 1
(%i60) define_variable(glob_three_term_test,2,fixnum)
(%o60) 2
(%i61) define_variable(glob_six_term_test,3,fixnum)
(%o61) 3
(%i62) define_variable(glob_log_10,log(10.0),convfloat)
(%o62) 2.302585092994046
(%i63) define_variable(ALWAYS,1,fixnum)
(%o63) 1
(%i64) define_variable(INFO,2,fixnum)
(%o64) 2
(%i65) define_variable(DEBUGL,3,fixnum)
(%o65) 3
(%i66) define_variable(DEBUGMASSIVE,4,fixnum)
(%o66) 4
(%i67) define_variable(MAX_UNCHANGED,10,fixnum)
(%o67) 10
(%i68) define_variable(glob_check_sign,1.0,convfloat)
(%o68) 1.0
(%i69) define_variable(glob_desired_digits_correct,8.0,convfloat)
(%o69) 8.0
(%i70) define_variable(glob_max_estimated_step_error,0.0,convfloat)
(%o70) 0.0
(%i71) define_variable(glob_ratio_of_radius,0.1,convfloat)
(%o71) 0.1
(%i72) define_variable(glob_percent_done,0.0,convfloat)
(%o72) 0.0
(%i73) define_variable(glob_subiter_method,3,fixnum)
(%o73) 3
(%i74) define_variable(glob_total_exp_sec,0.1,convfloat)
(%o74) 0.1
(%i75) define_variable(glob_optimal_expect_sec,0.1,convfloat)
(%o75) 0.1
(%i76) define_variable(glob_estimated_size_answer,100.0,convfloat)
(%o76) 100.0
(%i77) define_variable(glob_html_log,true,boolean)
(%o77) true
(%i78) define_variable(glob_good_digits,0,fixnum)
(%o78) 0
(%i79) define_variable(glob_max_opt_iter,10,fixnum)
(%o79) 10
(%i80) define_variable(glob_dump,false,boolean)
(%o80) false
(%i81) define_variable(glob_djd_debug,true,boolean)
(%o81) true
(%i82) define_variable(glob_display_flag,true,boolean)
(%o82) true
(%i83) define_variable(glob_djd_debug2,true,boolean)
(%o83) true
(%i84) define_variable(glob_sec_in_minute,60,fixnum)
(%o84) 60
(%i85) define_variable(glob_min_in_hour,60.0,convfloat)
(%o85) 60.0
(%i86) define_variable(glob_hours_in_day,24.0,convfloat)
(%o86) 24.0
(%i87) define_variable(glob_days_in_year,365,fixnum)
(%o87) 365
(%i88) define_variable(glob_sec_in_hour,3600,fixnum)
(%o88) 3600
(%i89) define_variable(glob_sec_in_day,86400,fixnum)
(%o89) 86400
(%i90) define_variable(glob_sec_in_year,31536000,fixnum)
(%o90) 31536000
(%i91) define_variable(glob_almost_1,0.999,convfloat)
(%o91) 0.999
(%i92) define_variable(glob_clock_sec,0.0,convfloat)
(%o92) 0.0
(%i93) define_variable(glob_clock_start_sec,0.0,convfloat)
(%o93) 0.0
(%i94) define_variable(glob_not_yet_finished,true,boolean)
(%o94) true
(%i95) define_variable(glob_initial_pass,true,boolean)
(%o95) true
(%i96) define_variable(glob_not_yet_start_msg,true,boolean)
(%o96) true
(%i97) define_variable(glob_reached_optimal_h,false,boolean)
(%o97) false
(%i98) define_variable(glob_optimal_done,false,boolean)
(%o98) false
(%i99) define_variable(glob_disp_incr,0.1,convfloat)
(%o99) 0.1
(%i100) define_variable(glob_h,0.1,convfloat)
(%o100) 0.1
(%i101) define_variable(glob_diff_rc_fm,0.1,convfloat)
(%o101) 0.1
(%i102) define_variable(glob_diff_rc_fmm1,0.1,convfloat)
(%o102) 0.1
(%i103) define_variable(glob_diff_rc_fmm2,0.1,convfloat)
(%o103) 0.1
(%i104) define_variable(glob_diff_ord_fm,0.1,convfloat)
(%o104) 0.1
(%i105) define_variable(glob_diff_ord_fmm1,0.1,convfloat)
(%o105) 0.1
(%i106) define_variable(glob_diff_ord_fmm2,0.1,convfloat)
(%o106) 0.1
(%i107) define_variable(glob_six_term_ord_save,0.1,convfloat)
(%o107) 0.1
(%i108) define_variable(glob_guess_error_rc,0.1,convfloat)
(%o108) 0.1
(%i109) define_variable(glob_guess_error_ord,0.1,convfloat)
(%o109) 0.1
(%i110) define_variable(glob_max_h,0.1,convfloat)
(%o110) 0.1
(%i111) define_variable(glob_min_h,1.0E-6,convfloat)
(%o111) 1.0E-6
(%i112) define_variable(glob_type_given_pole,0,fixnum)
(%o112) 0
(%i113) define_variable(glob_large_float,1.0E+100,convfloat)
(%o113) 1.0E+100
(%i114) define_variable(glob_larger_float,1.1E+100,convfloat)
(%o114) 1.1E+100
(%i115) define_variable(glob_least_given_sing,9.9E+100,convfloat)
(%o115) 9.9E+100
(%i116) define_variable(glob_least_ratio_sing,9.9E+100,convfloat)
(%o116) 9.9E+100
(%i117) define_variable(glob_least_3_sing,9.9E+100,convfloat)
(%o117) 9.9E+100
(%i118) define_variable(glob_least_6_sing,9.9E+100,convfloat)
(%o118) 9.9E+100
(%i119) define_variable(glob_last_good_h,0.1,convfloat)
(%o119) 0.1
(%i120) define_variable(glob_look_poles,false,boolean)
(%o120) false
(%i121) define_variable(glob_neg_h,false,boolean)
(%o121) false
(%i122) define_variable(glob_display_interval,0.0,convfloat)
(%o122) 0.0
(%i123) define_variable(glob_next_display,0.0,convfloat)
(%o123) 0.0
(%i124) define_variable(glob_dump_analytic,false,boolean)
(%o124) false
(%i125) define_variable(glob_abserr,1.0E-11,convfloat)
(%o125) 1.0E-11
(%i126) define_variable(glob_relerr,1.0E-11,convfloat)
(%o126) 1.0E-11
(%i127) define_variable(glob_min_pole_est,1.0E+9,convfloat)
(%o127) 1.0E+9
(%i128) define_variable(glob_max_hours,0.0,convfloat)
(%o128) 0.0
(%i129) define_variable(glob_max_iter,1000,fixnum)
(%o129) 1000
(%i130) define_variable(glob_max_rel_trunc_err,1.0E-11,convfloat)
(%o130) 1.0E-11
(%i131) define_variable(glob_max_trunc_err,1.0E-11,convfloat)
(%o131) 1.0E-11
(%i132) define_variable(glob_no_eqs,0,fixnum)
(%o132) 0
(%i133) define_variable(glob_optimal_clock_start_sec,0.0,convfloat)
(%o133) 0.0
(%i134) define_variable(glob_optimal_start,0.0,convfloat)
(%o134) 0.0
(%i135) define_variable(glob_upper_ratio_limit,1.0001,convfloat)
(%o135) 1.0001
(%i136) define_variable(glob_lower_ratio_limit,0.9999,convfloat)
(%o136) 0.9999
(%i137) define_variable(glob_small_float,0.0,convfloat)
(%o137) 0.0
(%i138) define_variable(glob_smallish_float,0.0,convfloat)
(%o138) 0.0
(%i139) define_variable(glob_unchanged_h_cnt,0,fixnum)
(%o139) 0
(%i140) define_variable(glob_warned,false,boolean)
(%o140) false
(%i141) define_variable(glob_warned2,false,boolean)
(%o141) false
(%i142) define_variable(glob_max_sec,10000.0,convfloat)
(%o142) 10000.0
(%i143) define_variable(glob_orig_start_sec,0.0,convfloat)
(%o143) 0.0
(%i144) define_variable(glob_start,0,fixnum)
(%o144) 0
(%i145) define_variable(glob_curr_iter_when_opt,0,fixnum)
(%o145) 0
(%i146) define_variable(glob_current_iter,0,fixnum)
(%o146) 0
(%i147) define_variable(glob_iter,0,fixnum)
(%o147) 0
(%i148) define_variable(glob_normmax,0.0,convfloat)
(%o148) 0.0
(%i149) define_variable(glob_max_minutes,0.0,convfloat)
(%o149) 0.0
(%i150) array(array_y_init,MAX_TERMS)
(%o150) array_y_init
(%i151) array(array_norms,MAX_TERMS)
(%o151) array_norms
(%i152) array(array_fact_1,MAX_TERMS)
(%o152) array_fact_1
(%i153) array(array_1st_rel_error,2)
(%o153) array_1st_rel_error
(%i154) array(array_last_rel_error,2)
(%o154) array_last_rel_error
(%i155) array(array_type_pole,2)
(%o155) array_type_pole
(%i156) array(array_type_real_pole,2)
(%o156) array_type_real_pole
(%i157) array(array_type_complex_pole,2)
(%o157) array_type_complex_pole
(%i158) array(array_y,MAX_TERMS)
(%o158) array_y
(%i159) array(array_x,MAX_TERMS)
(%o159) array_x
(%i160) array(array_tmp0,MAX_TERMS)
(%o160) array_tmp0
(%i161) array(array_tmp1,MAX_TERMS)
(%o161) array_tmp1
(%i162) array(array_tmp2,MAX_TERMS)
(%o162) array_tmp2
(%i163) array(array_tmp3_g,MAX_TERMS)
(%o163) array_tmp3_g
(%i164) array(array_tmp3,MAX_TERMS)
(%o164) array_tmp3
(%i165) array(array_tmp4,MAX_TERMS)
(%o165) array_tmp4
(%i166) array(array_tmp5,MAX_TERMS)
(%o166) array_tmp5
(%i167) array(array_tmp6,MAX_TERMS)
(%o167) array_tmp6
(%i168) array(array_tmp7,MAX_TERMS)
(%o168) array_tmp7
(%i169) array(array_m1,MAX_TERMS)
(%o169) array_m1
(%i170) array(array_y_higher,2,MAX_TERMS)
(%o170) array_y_higher
(%i171) array(array_y_higher_work,2,MAX_TERMS)
(%o171) array_y_higher_work
(%i172) array(array_y_higher_work2,2,MAX_TERMS)
(%o172) array_y_higher_work2
(%i173) array(array_y_set_initial,2,MAX_TERMS)
(%o173) array_y_set_initial
(%i174) array(array_given_rad_poles,2,3)
(%o174) array_given_rad_poles
(%i175) array(array_given_ord_poles,2,3)
(%o175) array_given_ord_poles
(%i176) array(array_rad_test_poles,2,3)
(%o176) array_rad_test_poles
(%i177) array(array_ord_test_poles,2,3)
(%o177) array_ord_test_poles
(%i178) array(array_fact_2,MAX_TERMS,MAX_TERMS)
(%o178) array_fact_2
(%i179) omniout_str(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a~%",string(str))
(%o179) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%i180) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a",string(str))
(%o180) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%i181) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel
then printf(true,"~a = ~a~%",string(label),
string(str))
(%o181) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%i182) omniout_float(iolevel,prelabel,prelen,value,vallen,postlabel):=if
glob_iolevel >= iolevel
then (if vallen = 4
then printf(true,"~a = ~g ~s ~%",prelabel,
value,postlabel)
else printf(true,"~a = ~g ~s ~%",prelabel,
value,postlabel))
(%o182) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (if vallen = 4
then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)
else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel))
(%i183) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if
glob_iolevel >= iolevel
then (printf(true,"~a = ~d ~a~%",prelabel,value,
postlabel),newline())
(%o183) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%i184) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen,
postlabel):=if glob_iolevel >= iolevel
then (sprint(prelabel,"[",elemnt,"]=",value,
postlabel),newline())
(%o184) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%i185) logitem_time(fd,secs_in):=(
block(mode_declare(
[[days_int,hours_int,minutes_int,sec_int,
years_int],fixnum,[secs,secs_temp],convfloat]),
secs:secs_in,printf(fd,"
~%"),
if secs >= 0
then (years_int
:truncate(secs/glob_sec_in_year),
sec_temp
:mod(truncate(secs),
truncate(glob_sec_in_year)),
days_int
:truncate(sec_temp/glob_sec_in_day),
sec_temp
:mod(sec_temp,
truncate(glob_sec_in_day)),
hours_int
:truncate(sec_temp/glob_sec_in_hour),
sec_temp
:mod(sec_temp,
truncate(glob_sec_in_hour)),
minutes_int
:truncate(sec_temp/glob_sec_in_minute),
sec_int
:mod(sec_temp,
truncate(glob_sec_in_minute)),
if truncate(years_int) > 0.1
then printf(fd,
"~d Years ~f Days ~f Hours ~f Minutes ~f Seconds~%",
years_int,days_int,
hours_int,minutes_int,
sec_int)
elseif days_int > 0.1
then printf(fd,
"~d Days ~d Hours ~d Minutes ~d Seconds~%",
days_int,hours_int,
minutes_int,sec_int)
elseif hours_int > 0.1
then printf(fd,
"~d Hours ~d Minutes ~d Seconds~%",
hours_int,minutes_int,
sec_int)
elseif minutes_int > 0.1
then printf(fd,
"~d Minutes ~d Seconds~%",
minutes_int,sec_int)
else printf(fd,"~d Seconds~%",
sec_int))
else printf(fd," 0.0 Seconds~%"),
printf(fd," | ~%")),0)
(%o185) logitem_time(fd, secs_in) := (block(mode_declare([[days_int,
hours_int, minutes_int, sec_int, years_int], fixnum, [secs, secs_temp],
convfloat]), secs : secs_in, printf(fd, "~%"),
secs
if secs >= 0 then (years_int : truncate(----------------),
glob_sec_in_year
sec_temp : mod(truncate(secs), truncate(glob_sec_in_year)),
sec_temp
days_int : truncate(---------------), sec_temp :
glob_sec_in_day
mod(sec_temp, truncate(glob_sec_in_day)),
sec_temp
hours_int : truncate(----------------),
glob_sec_in_hour
sec_temp : mod(sec_temp, truncate(glob_sec_in_hour)),
sec_temp
minutes_int : truncate(------------------),
glob_sec_in_minute
sec_int : mod(sec_temp, truncate(glob_sec_in_minute)),
if truncate(years_int) > 0.1 then printf(fd,
"~d Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int, days_int,
hours_int, minutes_int, sec_int) elseif days_int > 0.1
then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0.1
then printf(fd, "~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int,
sec_int) elseif minutes_int > 0.1 then printf(fd, "~d Minutes ~d Seconds~%",
minutes_int, sec_int) else printf(fd, "~d Seconds~%", sec_int))
else printf(fd, " 0.0 Seconds~%"), printf(fd, " | ~%")), 0)
(%i186) omniout_timestr(secs_in):=(
block(mode_declare(
[[days_int,hours_int,minutes_int,sec_int,
years_int],fixnum,[secs,secs_temp],
convfloat]),secs:secs_in,
if secs >= 0
then (
years_int:truncate(secs/glob_sec_in_year),
sec_temp
:mod(truncate(secs),
truncate(glob_sec_in_year)),
days_int:truncate(sec_temp/glob_sec_in_day),
sec_temp
:mod(sec_temp,truncate(glob_sec_in_day)),
hours_int
:truncate(sec_temp/glob_sec_in_hour),
sec_temp
:mod(sec_temp,truncate(glob_sec_in_hour)),
minutes_int
:truncate(sec_temp/glob_sec_in_minute),
sec_int
:mod(sec_temp,
truncate(glob_sec_in_minute)),
if years_int > 0
then printf(true,
"= ~f Years ~f Days ~f Hours ~f Minutes ~f Seconds~%",
years_int,days_int,
hours_int,minutes_int,
sec_int)
elseif days_int > 0.1
then printf(true,
"= ~d Days ~d Hours ~d Minutes ~d Seconds~%",
days_int,hours_int,
minutes_int,sec_int)
elseif hours_int > 0.1
then printf(true,
"= ~d Hours ~d Minutes ~d Seconds~%",
hours_int,minutes_int,
sec_int)
elseif minutes_int > 0.1
then printf(true,
"= ~d Minutes ~d Seconds~%",
minutes_int,sec_int)
else printf(true,"= ~d Seconds~%",
sec_int))
else printf(true,"= 0.0 Seconds~%")),0)
(%o186) omniout_timestr(secs_in) := (block(mode_declare([[days_int, hours_int,
minutes_int, sec_int, years_int], fixnum, [secs, secs_temp], convfloat]),
secs
secs : secs_in, if secs >= 0 then (years_int : truncate(----------------),
glob_sec_in_year
sec_temp : mod(truncate(secs), truncate(glob_sec_in_year)),
sec_temp
days_int : truncate(---------------), sec_temp :
glob_sec_in_day
mod(sec_temp, truncate(glob_sec_in_day)),
sec_temp
hours_int : truncate(----------------),
glob_sec_in_hour
sec_temp : mod(sec_temp, truncate(glob_sec_in_hour)),
sec_temp
minutes_int : truncate(------------------),
glob_sec_in_minute
sec_int : mod(sec_temp, truncate(glob_sec_in_minute)),
if years_int > 0 then printf(true,
"= ~f Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int, days_int,
hours_int, minutes_int, sec_int) elseif days_int > 0.1
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0.1
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0.1
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int))
else printf(true, "= 0.0 Seconds~%")), 0)
(%i187) zero_ats_ar(arr_a):=(
block(modedcclare([iii],fixnum),iii:1,
while iii <= MAX_TERMS do
(arr_a[iii]:0.0,iii:1+iii)),0)
(%o187) zero_ats_ar(arr_a) := (block(modedcclare([iii], fixnum), iii : 1,
while iii <= MAX_TERMS do (arr_a : 0.0, iii : 1 + iii)), 0)
iii
(%i188) ats(mmm_ats,arr_a,arr_b,jjj_ats):=block(
mode_declare([[iii_ats,lll_ats,ma_ats],fixnum,[ret_ats],
convfloat]),ret_ats:0.0,
if jjj_ats <= mmm_ats
then (ma_ats:1+mmm_ats,iii_ats:jjj_ats,
while iii_ats <= mmm_ats do
(lll_ats:ma_ats-iii_ats,
if lll_ats <= MAX_TERMS and iii_ats <= MAX_TERMS
then ret_ats
:arr_a[iii_ats]*arr_b[lll_ats]+ret_ats,
iii_ats:1+iii_ats)),ret_ats)
(%o188) ats(mmm_ats, arr_a, arr_b, jjj_ats) :=
block(mode_declare([[iii_ats, lll_ats, ma_ats], fixnum, [ret_ats],
convfloat]), ret_ats : 0.0, if jjj_ats <= mmm_ats
then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats,
while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats,
if (lll_ats <= MAX_TERMS) and (iii_ats <= MAX_TERMS)
then ret_ats : arr_a arr_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%i189) att(mmm_att,arr_aa,arr_bb,jjj_att):=block(
mode_declare([[al_att,iii_att,lll_att,ma_att],convfloat,[ret_att],
fixnum]),ret_att:0.0,
if jjj_att < mmm_att
then (ma_att:2+mmm_att,iii_att:jjj_att,
while iii_att < mmm_att and iii_att <= MAX_TERMS do
(lll_att:ma_att-iii_att,al_att:lll_att-1,
if lll_att <= MAX_TERMS and iii_att <= MAX_TERMS
then ret_att
:arr_aa[iii_att]*arr_bb[lll_att]*al_att
+ret_att,iii_att:1+iii_att),
ret_att:ret_att/mmm_att),ret_att)
(%o189) att(mmm_att, arr_aa, arr_bb, jjj_att) :=
block(mode_declare([[al_att, iii_att, lll_att, ma_att], convfloat, [ret_att],
fixnum]), ret_att : 0.0, if jjj_att < mmm_att
then (ma_att : 2 + mmm_att, iii_att : jjj_att,
while (iii_att < mmm_att) and (iii_att <= MAX_TERMS) do (lll_att :
ma_att - iii_att, al_att : lll_att - 1,
if (lll_att <= MAX_TERMS) and (iii_att <= MAX_TERMS)
then ret_att : arr_aa arr_bb al_att + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : -------), ret_att)
mmm_att
(%i190) logditto(file):=(printf(file,""),printf(file,"ditto"),
printf(file," | "),0)
(%o190) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "), 0)
(%i191) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n),
printf(file," | "),0)
(%o191) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "), 0)
(%i192) logitem_str(file,str):=(printf(file,""),printf(file,str),
printf(file," | "),0)
(%o192) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "), 0)
(%i193) logitem_good_digits(file,rel_error):=(
block(mode_declare([[good_digits],fixnum]),
printf(file,""),
if rel_error # -1.0
then (if rel_error > +1.0E-34
then (
good_digits
:3-floor(log10(rel_error)),
printf(file,"~d",good_digits))
else (good_digits:16,
printf(file,"~d",
good_digits)))
else printf(file,"Unknown"),
printf(file," | ")),0)
(%o193) logitem_good_digits(file, rel_error) :=
(block(mode_declare([[good_digits], fixnum]), printf(file, ""),
if rel_error # - 1.0 then (if rel_error > + 1.0E-34
then (good_digits : 3 - floor(log10(rel_error)),
printf(file, "~d", good_digits)) else (good_digits : 16,
printf(file, "~d", good_digits))) else printf(file, "Unknown"),
printf(file, " | ")), 0)
(%i194) log_revs(file,revs):=printf(file,revs)
(%o194) log_revs(file, revs) := printf(file, revs)
(%i195) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x),
printf(file," | "),0)
(%o195) logitem_float(file, x) := (printf(file, ""),
printf(file, "~g", x), printf(file, " | "), 0)
(%i196) logitem_pole(file,pole):=(printf(file,""),
if pole = 0 then printf(file,"NA") elseif pole = 1
then printf(file,"Real") elseif pole = 2
then printf(file,"Complex") elseif pole = 4
then printf(file,"Yes") else printf(file,"No"),
printf(file," | "),0)
(%o196) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") elseif pole = 4
then printf(file, "Yes") else printf(file, "No"), printf(file, " | "), 0)
(%i197) logstart(file):=(printf(file,""),0)
(%o197) logstart(file) := (printf(file, "
"), 0)
(%i198) logend(file):=(printf(file,"
~%"),0)
(%o198) logend(file) := (printf(file, "~%"), 0)
(%i199) chk_data():=(
block(mode_declare([[errflag],boolean]),errflag:false,
if glob_max_iter < 2
then (omniout_str(ALWAYS,"Illegal max_iter"),
errflag:true),if errflag then quit()),0)
(%o199) chk_data() := (block(mode_declare([[errflag], boolean]),
errflag : false, if glob_max_iter < 2 then (omniout_str(ALWAYS,
"Illegal max_iter"), errflag : true), if errflag then quit()), 0)
(%i200) comp_expect_sec(t_end2,t_start2,t2,clock_sec2):=block(
mode_declare([[ms2,rrr,sec_left,sub1,sub2],
convfloat]),ms2:clock_sec2,
sub1:t_end2-t_start2,sub2:t2-t_start2,
if sub1 = 0.0 then sec_left:0.0
else (if sub2 > 0.0
then (rrr:sub1/sub2,
sec_left:rrr*ms2-ms2)
else sec_left:0.0),sec_left)
(%o200) comp_expect_sec(t_end2, t_start2, t2, clock_sec2) :=
block(mode_declare([[ms2, rrr, sec_left, sub1, sub2], convfloat]),
ms2 : clock_sec2, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if sub2 > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%i201) comp_percent(t_end2,t_start2,t2):=block(
mode_declare([[rrr,sub1,sub2],convfloat]),
sub1:t_end2-t_start2,sub2:t2-t_start2,
if sub2 > glob_small_float then rrr:100.0*sub2/sub1
else rrr:0.0,rrr)
(%o201) comp_percent(t_end2, t_start2, t2) :=
block(mode_declare([[rrr, sub1, sub2], convfloat]), sub1 : t_end2 - t_start2,
100.0 sub2
sub2 : t2 - t_start2, if sub2 > glob_small_float then rrr : ----------
sub1
else rrr : 0.0, rrr)
(%i202) comp_rad_from_ratio(term1,term2,last_no):=(
if term2 > 0.0 then ret:abs(term1*glob_h/term2)
else ret:glob_larger_float,ret)
(%o202) comp_rad_from_ratio(term1, term2, last_no) :=
!term1 glob_h!
(if term2 > 0.0 then ret : !------------! else ret : glob_larger_float, ret)
! term2 !
(%i203) comp_ord_from_ratio(term1,term2,last_no):=(
if term2 > 0.0
then ret
:abs(term2)*convfloat(last_no)
*log(abs(term1*glob_h/term2))
/log(convfloat(last_no))
+1.0 else ret:glob_larger_float,ret)
(%o203) comp_ord_from_ratio(term1, term2, last_no) :=
!term1 glob_h!
mabs(term2) convfloat(last_no) log(!------------!)
! term2 !
(if term2 > 0.0 then ret : --------------------------------------------------
log(convfloat(last_no))
+ 1.0 else ret : glob_larger_float, ret)
(%i204) comp_rad_from_three_terms(term1,term2,term3,last_no):=(
temp:abs(
term1*term3
-term1*term3*convfloat(last_no)
-2.0*term2*term2
+term2*term2*convfloat(last_no)),
if temp > 0.0
then ret:abs(term2*glob_h*term1/temp)
else ret:glob_larger_float,ret)
(%o204) comp_rad_from_three_terms(term1, term2, term3, last_no) :=
(temp : mabs(term1 term3 - term1 term3 convfloat(last_no) - 2.0 term2 term2
+ term2 term2 convfloat(last_no)), if temp > 0.0
!term2 glob_h term1!
then ret : !------------------! else ret : glob_larger_float, ret)
! temp !
(%i205) comp_ord_from_three_terms(term1,term2,term3,last_no):=(
ret:abs(
(-term1*term3*convfloat(last_no*last_no)
+term2*term2*convfloat(last_no*last_no)
+4.0*term2*term2
-4.0*term2*term2*convfloat(last_no)
-3.0*term1*term3
+4.0*term1*term3*convfloat(last_no))
/(term1*term3
-term1*term3*convfloat(last_no)
-2.0*term2*term2
+term2*term2*convfloat(last_no))),ret)
(%o205) comp_ord_from_three_terms(term1, term2, term3, last_no) :=
(ret : mabs((- term1 term3 convfloat(last_no last_no)
+ term2 term2 convfloat(last_no last_no) + 4.0 term2 term2
- 4.0 term2 term2 convfloat(last_no) - 3.0 term1 term3
+ 4.0 term1 term3 convfloat(last_no))/(term1 term3
- term1 term3 convfloat(last_no) - 2.0 term2 term2
+ term2 term2 convfloat(last_no))), ret)
(%i206) comp_rad_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=
(
if term5 # 0.0 and term4 # 0.0 and term3 # 0.0
and term2 # 0.0 and term1 # 0.0
then (rm0:term6/term5,rm1:term5/term4,
rm2:term4/term3,rm3:term3/term2,
rm4:term2/term1,
nr1
:convfloat(last_no-3)*rm2
-2.0*convfloat(last_no-2)*rm1
+convfloat(last_no-1)*rm0,
nr2
:convfloat(last_no-4)*rm3
-2.0*convfloat(last_no-3)*rm2
+convfloat(last_no-2)*rm1,
dr1:(-1.0)/rm3+2.0/rm2+(-1.0)/rm1,
dr2:(-1.0)/rm4+2.0/rm3+(-1.0)/rm2,
ds1:5.0/rm3-8.0/rm2+3.0/rm1,
ds2:5.0/rm4-8.0/rm3+3.0/rm2,
if
abs(nr1*dr2-nr2*dr1) = 0.0
or abs(dr1) = 0.0
then (rad_c:glob_larger_float,
ord_no:glob_larger_float)
else (if
abs(nr1*dr2-nr2*dr1) # 0.0
then (
rcs
:(dr1*dr2-ds2*dr1+ds1*dr2)
/(nr1*dr2-nr2*dr1),
ord_no
:(rcs*nr1-ds1)/(2.0*dr1)
-convfloat(last_no)/2.0,
if abs(rcs) # 0.0
then (if rcs > 0.0
then rad_c
:sqrt(rcs)
*abs(glob_h)
else (
rad_c
:glob_larger_float,
ord_no
:glob_larger_float))
else (
rad_c:glob_larger_float,
ord_no:glob_larger_float))
else (rad_c:glob_larger_float,
ord_no:glob_larger_float)))
else (rad_c:glob_larger_float,
ord_no:glob_larger_float),
glob_six_term_ord_save:ord_no,rad_c)
(%o206) comp_rad_from_six_terms(term1, term2, term3, term4, term5, term6,
last_no) := (if (term5 # 0.0) and (term4 # 0.0) and (term3 # 0.0)
term6 term5
and (term2 # 0.0) and (term1 # 0.0) then (rm0 : -----, rm1 : -----,
term5 term4
term4 term3 term2
rm2 : -----, rm3 : -----, rm4 : -----,
term3 term2 term1
nr1 : convfloat(last_no - 3) rm2 - 2.0 convfloat(last_no - 2) rm1
+ convfloat(last_no - 1) rm0, nr2 : convfloat(last_no - 4) rm3
- 2.0 convfloat(last_no - 3) rm2 + convfloat(last_no - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (mabs(nr1 dr2 - nr2 dr1) = 0.0) or (mabs(dr1) = 0.0)
rm4 rm3 rm2
then (rad_c : glob_larger_float, ord_no : glob_larger_float)
else (if mabs(nr1 dr2 - nr2 dr1) # 0.0
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(last_no)
ord_no : ------------- - ------------------,
2.0 dr1 2.0
if mabs(rcs) # 0.0 then (if rcs > 0.0 then rad_c : sqrt(rcs) mabs(glob_h)
else (rad_c : glob_larger_float, ord_no : glob_larger_float))
else (rad_c : glob_larger_float, ord_no : glob_larger_float))
else (rad_c : glob_larger_float, ord_no : glob_larger_float)))
else (rad_c : glob_larger_float, ord_no : glob_larger_float),
glob_six_term_ord_save : ord_no, rad_c)
(%i207) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save
(%o207) comp_ord_from_six_terms(term1, term2, term3, term4, term5, term6,
last_no) := glob_six_term_ord_save
(%i208) factorial_2(nnn):=nnn!
(%o208) factorial_2(nnn) := nnn!
(%i209) factorial_1(nnn):=block(mode_declare([[ret],convfloat]),
if nnn <= MAX_TERMS
then (if array_fact_1[nnn] = 0
then (ret:factorial_2(nnn),
array_fact_1[nnn]:ret)
else ret:array_fact_1[nnn])
else ret:factorial_2(nnn),ret)
(%o209) factorial_1(nnn) := block(mode_declare([[ret], convfloat]),
if nnn <= MAX_TERMS then (if array_fact_1 = 0
nnn
then (ret : factorial_2(nnn), array_fact_1 : ret)
nnn
else ret : array_fact_1 ) else ret : factorial_2(nnn), ret)
nnn
(%i210) factorial_3(mmm,nnn):=block(mode_declare([[ret],convfloat]),
if nnn <= MAX_TERMS and mmm <= MAX_TERMS
then (if array_fact_2[mmm,nnn] = 0
then (ret:factorial_1(mmm)/factorial_1(nnn),
array_fact_2[mmm,nnn]:ret)
else ret:array_fact_2[mmm,nnn])
else ret:factorial_2(mmm)/factorial_2(nnn),ret)
(%o210) factorial_3(mmm, nnn) := block(mode_declare([[ret], convfloat]),
if (nnn <= MAX_TERMS) and (mmm <= MAX_TERMS)
factorial_1(mmm)
then (if array_fact_2 = 0 then (ret : ----------------,
mmm, nnn factorial_1(nnn)
array_fact_2 : ret) else ret : array_fact_2 )
mmm, nnn mmm, nnn
factorial_2(mmm)
else ret : ----------------, ret)
factorial_2(nnn)
(%i211) log10(x):=log(x)/glob_log_10
log(x)
(%o211) log10(x) := -----------
glob_log_10
(%i212) expt(x,y):=(if x <= 0.0 and y < 0.0
then print("expt error x = ",x,"y = ",y),x^y)
(%o212) expt(x, y) := (if (x <= 0.0) and (y < 0.0)
y
then print("expt error x = ", x, "y = ", y), x )
(%i213) estimated_needed_step_error(x_start,x_end,estimated_h,
estimated_answer):=block(
[desired_abs_gbl_error,range,
estimated_steps,step_error],
omniout_float(ALWAYS,
"glob_desired_digits_correct",
32,
glob_desired_digits_correct,
32,""),
desired_abs_gbl_error
:expt(10.0,-glob_desired_digits_correct)
*abs(estimated_answer),
omniout_float(ALWAYS,"estimated_h",32,
estimated_h,32,""),
omniout_float(ALWAYS,"estimated_answer",
32,estimated_answer,32,""),
omniout_float(ALWAYS,
"desired_abs_gbl_error",32,
desired_abs_gbl_error,32,
""),range:x_end-x_start,
omniout_float(ALWAYS,"range",32,range,32,
""),
estimated_steps:range/estimated_h,
omniout_float(ALWAYS,"estimated_steps",32,
estimated_steps,32,""),
step_error
:abs(
desired_abs_gbl_error/estimated_steps),
omniout_float(ALWAYS,"step_error",32,
step_error,32,""),
step_error)
(%o213) estimated_needed_step_error(x_start, x_end, estimated_h,
estimated_answer) := block([desired_abs_gbl_error, range, estimated_steps,
step_error], omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, ""), desired_abs_gbl_error :
expt(10.0, - glob_desired_digits_correct) mabs(estimated_answer),
omniout_float(ALWAYS, "estimated_h", 32, estimated_h, 32, ""),
omniout_float(ALWAYS, "estimated_answer", 32, estimated_answer, 32, ""),
omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32,
""), range : x_end - x_start, omniout_float(ALWAYS, "range", 32, range, 32,
range
""), estimated_steps : -----------, omniout_float(ALWAYS, "estimated_steps",
estimated_h
!desired_abs_gbl_error!
32, estimated_steps, 32, ""), step_error : !---------------------!,
! estimated_steps !
omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""), step_error)
(%i214) exact_soln_y(x):=block((-cos(0.1+0.3*x))/0.3+0.2*x+0.05*x*x)
- cos(0.1 + 0.3 x)
(%o214) exact_soln_y(x) := block(------------------ + 0.2 x + 0.05 x x)
0.3
(%i215) display_poles():=(
block(mode_declare([[rad_given],convfloat]),
if glob_type_given_pole = 4
then (rad_given
:sqrt(
array_given_rad_poles[1,2]
*array_given_rad_poles[1,2]
+(array_x[1]
-array_given_rad_poles[1,1])
*(array_x[1]
-array_given_rad_poles[1,1])),
if rad_given < glob_least_given_sing
then glob_least_given_sing
:rad_given,
omniout_float(ALWAYS,
"Radius of convergence (given) for eq 1 ",
4,rad_given,4," "),
omniout_float(ALWAYS,
"Order of pole (given) ",
4,
array_given_ord_poles[
1,1],4," "))
elseif glob_type_given_pole = 3
then omniout_str(ALWAYS,
"NO POLE (given) for Equation 1")
else omniout_str(ALWAYS,
"NO INFO (given) for Equation 1"),
if array_rad_test_poles[1,1] < glob_large_float
then (omniout_float(ALWAYS,
"Radius of convergence (ratio test) for eq 1 ",
4,
array_rad_test_poles[1,1],
4," "),
if
array_rad_test_poles[1,1]
< glob_least_ratio_sing
then glob_least_ratio_sing
:array_rad_test_poles[1,1],
omniout_float(ALWAYS,
"Order of pole (ratio test) ",
4,
array_ord_test_poles[1,1],
4," "))
else omniout_str(ALWAYS,
"NO POLE (ratio test) for Equation 1"),
if array_rad_test_poles[1,2] > 0.0
and array_rad_test_poles[1,2]
< glob_large_float
then (omniout_float(ALWAYS,
"Radius of convergence (three term test) for eq 1 ",
4,
array_rad_test_poles[1,2],
4," "),
if
array_rad_test_poles[1,2]
< glob_least_3_sing
then glob_least_3_sing
:array_rad_test_poles[1,2],
omniout_float(ALWAYS,
"Order of pole (three term test) ",
4,
array_ord_test_poles[1,2],
4," "))
else omniout_str(ALWAYS,
"NO REAL POLE (three term test) for Equation 1"),
if array_rad_test_poles[1,3] > 0.0
and array_rad_test_poles[1,3]
< glob_large_float
then (omniout_float(ALWAYS,
"Radius of convergence (six term test) for eq 1 ",
4,
array_rad_test_poles[1,3],
4," "),
if
array_rad_test_poles[1,3]
< glob_least_6_sing
then glob_least_6_sing
:array_rad_test_poles[1,3],
omniout_float(ALWAYS,
"Order of pole (six term test) ",
4,
array_ord_test_poles[1,3],
4," "))
else omniout_str(ALWAYS,
"NO COMPLEX POLE (six term test) for Equation 1")),
0)
(%o215) display_poles() := (block(mode_declare([[rad_given], convfloat]),
if glob_type_given_pole = 4 then (rad_given :
sqrt(array_given_rad_poles array_given_rad_poles
1, 2 1, 2
+ (array_x - array_given_rad_poles )
1 1, 1
(array_x - array_given_rad_poles )),
1 1, 1
if rad_given < glob_least_given_sing then glob_least_given_sing : rad_given,
omniout_float(ALWAYS, "Radius of convergence (given) for eq 1 ", 4,
rad_given, 4, " "), omniout_float(ALWAYS,
"Order of pole (given) ", 4,
array_given_ord_poles , 4, " ")) elseif glob_type_given_pole = 3
1, 1
then omniout_str(ALWAYS, "NO POLE (given) for Equation 1")
else omniout_str(ALWAYS, "NO INFO (given) for Equation 1"),
if array_rad_test_poles < glob_large_float then (omniout_float(ALWAYS, "Ra\
1, 1
dius of convergence (ratio test) for eq 1 ", 4,
array_rad_test_poles , 4, " "), if array_rad_test_poles <
1, 1 1, 1
glob_least_ratio_sing then glob_least_ratio_sing : array_rad_test_poles ,
1, 1
omniout_float(ALWAYS, "Order of pole (ratio test) ", 4,
array_ord_test_poles , 4, " ")) else omniout_str(ALWAYS,
1, 1
"NO POLE (ratio test) for Equation 1"),
if (array_rad_test_poles > 0.0) and (array_rad_test_poles < glob_large_float)
1, 2 1, 2
then (omniout_float(ALWAYS,
"Radius of convergence (three term test) for eq 1 ", 4,
array_rad_test_poles , 4, " "), if array_rad_test_poles <
1, 2 1, 2
glob_least_3_sing then glob_least_3_sing : array_rad_test_poles ,
1, 2
omniout_float(ALWAYS, "Order of pole (three term test) ", 4,
array_ord_test_poles , 4, " ")) else omniout_str(ALWAYS,
1, 2
"NO REAL POLE (three term test) for Equation 1"),
if (array_rad_test_poles > 0.0) and (array_rad_test_poles <
1, 3 1, 3
glob_large_float)
then (omniout_float(ALWAYS,
"Radius of convergence (six term test) for eq 1 ", 4,
array_rad_test_poles , 4, " "), if array_rad_test_poles <
1, 3 1, 3
glob_least_6_sing then glob_least_6_sing : array_rad_test_poles ,
1, 3
omniout_float(ALWAYS, "Order of pole (six term test) ", 4,
array_ord_test_poles , 4, " ")) else omniout_str(ALWAYS,
1, 3
"NO COMPLEX POLE (six term test) for Equation 1")), 0)
(%i216) my_check_sign(x0,xf):=block([ret],if xf > x0 then ret:1.0
else ret:-1.0,ret)
(%o216) my_check_sign(x0, xf) := block([ret],
if xf > x0 then ret : 1.0 else ret : - 1.0, ret)
(%i217) est_size_answer():=block([min_size],
min_size:glob_estimated_size_answer,
if abs(array_y[1]) < min_size
then (min_size:abs(array_y[1]),
omniout_float(ALWAYS,"min_size",32,min_size,
32,"")),
if min_size < 1.0
then (min_size:1.0,
omniout_float(ALWAYS,"min_size",32,min_size,
32,"")),min_size)
(%o217) est_size_answer() := block([min_size],
min_size : glob_estimated_size_answer,
if !array_y ! < min_size then (min_size : !array_y !,
! 1! ! 1!
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")),
if min_size < 1.0 then (min_size : 1.0,
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size)
(%i218) test_suggested_h():=block(
[max_estimated_step_error,hn_div_ho,hn_div_ho_2,
hn_div_ho_3,no_terms,est_tmp],
max_estimated_step_error:0.0,no_terms:MAX_TERMS,
hn_div_ho:0.5,hn_div_ho_2:0.25,hn_div_ho_3:0.125,
omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""),
omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,
""),
omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,
""),
est_tmp:abs(array_y[no_terms]*hn_div_ho_3
+array_y[no_terms-1]*hn_div_ho_2
+array_y[no_terms-2]*hn_div_ho
+array_y[no_terms-3]),
if est_tmp >= max_estimated_step_error
then max_estimated_step_error:est_tmp,
omniout_float(ALWAYS,"max_estimated_step_error",32,
max_estimated_step_error,32,""),
max_estimated_step_error)
(%o218) test_suggested_h() := block([max_estimated_step_error, hn_div_ho,
hn_div_ho_2, hn_div_ho_3, no_terms, est_tmp], max_estimated_step_error : 0.0,
no_terms : MAX_TERMS, hn_div_ho : 0.5, hn_div_ho_2 : 0.25,
hn_div_ho_3 : 0.125, omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32,
""), omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""),
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""),
est_tmp : mabs(array_y hn_div_ho_3 + array_y hn_div_ho_2
no_terms no_terms - 1
+ array_y hn_div_ho + array_y ),
no_terms - 2 no_terms - 3
if est_tmp >= max_estimated_step_error then max_estimated_step_error :
est_tmp, omniout_float(ALWAYS, "max_estimated_step_error", 32,
max_estimated_step_error, 32, ""), max_estimated_step_error)
(%i219) reached_interval():=block(mode_declare([[ret],boolean]),
if glob_check_sign*array_x[1]
>= glob_check_sign*glob_next_display
then ret:true else ret:false,return(ret))
(%o219) reached_interval() := block(mode_declare([[ret], boolean]),
if glob_check_sign array_x >= glob_check_sign glob_next_display
1
then ret : true else ret : false, return(ret))
(%i220) display_alot(iter):=(
block(mode_declare(
[[abserr],convfloat,[analytic_val_y],convfloat,
[ind_var],convfloat,[numeric_val],convfloat,
[relerr],convfloat,[term_no],fixnum]),
if reached_interval()
then (if iter >= 0
then (ind_var:array_x[1],
omniout_float(ALWAYS,
"x[1] ",
33,ind_var,20,
" "),
analytic_val_y
:exact_soln_y(ind_var),
omniout_float(ALWAYS,
"y[1] (analytic) ",
33,
analytic_val_y,
20," "),
term_no:1,
numeric_val:array_y[term_no],
abserr
:abs(
numeric_val-analytic_val_y),
omniout_float(ALWAYS,
"y[1] (numeric) ",
33,numeric_val,
20," "),
if abs(analytic_val_y) # 0.0
then (
relerr
:abserr*100.0
/abs(analytic_val_y),
if relerr > 1.0E-34
then glob_good_digits
:3-floor(log10(relerr))
else glob_good_digits
:16)
else (relerr:-1.0,
glob_good_digits:-1),
if glob_iter = 1
then array_1st_rel_error[1]
:relerr
else array_last_rel_error[
1]
:relerr,
omniout_float(ALWAYS,
"absolute error ",
4,abserr,20," "),
omniout_float(ALWAYS,
"relative error ",
4,relerr,20,"%"),
omniout_int(INFO,
"Correct digits ",
32,
glob_good_digits,4,
" "),
omniout_float(ALWAYS,
"h ",
4,glob_h,20,
" ")))),0)
(%o220) display_alot(iter) := (block(mode_declare([[abserr], convfloat,
[analytic_val_y], convfloat, [ind_var], convfloat, [numeric_val], convfloat,
[relerr], convfloat, [term_no], fixnum]),
if reached_interval() then (if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : mabs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
20, " "), if mabs(analytic_val_y) # 0.0
abserr 100.0
then (relerr : --------------------, if relerr > 1.0E-34
mabs(analytic_val_y)
then glob_good_digits : 3 - floor(log10(relerr)) else glob_good_digits : 16)
else (relerr : - 1.0, glob_good_digits : - 1),
if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " "), omniout_float(ALWAYS,
"h ", 4, glob_h, 20, " ")))), 0)
(%i221) adjust_for_pole(h_param):=(
block(mode_declare(
[[hnew],convfloat,[sz2],convfloat,[tmp],
convfloat]),hnew:h_param,
glob_normmax:glob_small_float,
if abs(array_y_higher[1,1]) > glob_small_float
then (tmp:abs(array_y_higher[1,1]),
if tmp < glob_normmax
then glob_normmax:tmp),
if glob_look_poles
and glob_min_pole_est > glob_small_float
and glob_min_pole_est < glob_large_float
then (sz2:glob_min_pole_est/10.0,
if sz2 < hnew
then (
omniout_float(INFO,
"glob_h adjusted to ",
20,h_param,12,
"due to singularity."),
omniout_str(INFO,
"Reached Optimal"),
return(hnew))),
if not glob_reached_optimal_h
then (glob_reached_optimal_h:true,
glob_curr_iter_when_opt
:glob_current_iter,
glob_optimal_clock_start_sec
:elapsed_time_seconds(),
glob_optimal_start:array_x[1]),
hnew:sz2),hnew)
(%o221) adjust_for_pole(h_param) := (block(mode_declare([[hnew], convfloat,
[sz2], convfloat, [tmp], convfloat]), hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (glob_min_pole_est > glob_small_float)
and (glob_min_pole_est < glob_large_float)
glob_min_pole_est
then (sz2 : -----------------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), return(hnew))),
if not glob_reached_optimal_h then (glob_reached_optimal_h : true,
glob_curr_iter_when_opt : glob_current_iter,
glob_optimal_clock_start_sec : elapsed_time_seconds(),
glob_optimal_start : array_x ), hnew : sz2), hnew)
1
(%i222) prog_report(x_start,x_end):=(
block(mode_declare([[clock_sec],convfloat,[opt_clock_sec],
convfloat,[clock_sec1],convfloat,
[expect_sec],convfloat,[left_sec],
convfloat,[percent_done],convfloat,
[total_clock_sec],convfloat]),
clock_sec1:elapsed_time_seconds(),
total_clock_sec:clock_sec1-glob_orig_start_sec,
glob_clock_sec:clock_sec1-glob_clock_start_sec,
left_sec:-clock_sec1+glob_orig_start_sec
+glob_max_sec,
expect_sec:comp_expect_sec(x_end,x_start,
glob_h+array_x[1],
clock_sec1
-glob_orig_start_sec),
opt_clock_sec:clock_sec1
-glob_optimal_clock_start_sec,
glob_optimal_expect_sec
:comp_expect_sec(x_end,x_start,glob_h+array_x[1],
opt_clock_sec),
glob_total_exp_sec
:total_clock_sec+glob_optimal_expect_sec,
percent_done:comp_percent(x_end,x_start,
glob_h+array_x[1]),
glob_percent_done:percent_done,
omniout_str_noeol(INFO,
"Total Elapsed Time "),
omniout_timestr(total_clock_sec),
omniout_str_noeol(INFO,
"Elapsed Time(since restart) "),
omniout_timestr(glob_clock_sec),
if percent_done < 100.0
then (omniout_str_noeol(INFO,
"Expected Time Remaining "),
omniout_timestr(expect_sec),
omniout_str_noeol(INFO,
"Optimized Time Remaining "),
omniout_timestr(glob_optimal_expect_sec),
omniout_str_noeol(INFO,
"Expected Total Time "),
omniout_timestr(glob_total_exp_sec)),
omniout_str_noeol(INFO,
"Time to Timeout "),
omniout_timestr(left_sec),
omniout_float(INFO,
"Percent Done ",33,
percent_done,4,"%")),0)
(%o222) prog_report(x_start, x_end) :=
(block(mode_declare([[clock_sec], convfloat, [opt_clock_sec], convfloat,
[clock_sec1], convfloat, [expect_sec], convfloat, [left_sec], convfloat,
[percent_done], convfloat, [total_clock_sec], convfloat]),
clock_sec1 : elapsed_time_seconds(), total_clock_sec :
clock_sec1 - glob_orig_start_sec, glob_clock_sec :
clock_sec1 - glob_clock_start_sec, left_sec :
- clock_sec1 + glob_orig_start_sec + glob_max_sec,
expect_sec : comp_expect_sec(x_end, x_start, glob_h + array_x ,
1
clock_sec1 - glob_orig_start_sec), opt_clock_sec :
clock_sec1 - glob_optimal_clock_start_sec,
glob_optimal_expect_sec : comp_expect_sec(x_end, x_start, glob_h + array_x ,
1
opt_clock_sec), glob_total_exp_sec : total_clock_sec
+ glob_optimal_expect_sec, percent_done :
comp_percent(x_end, x_start, glob_h + array_x ),
1
glob_percent_done : percent_done, omniout_str_noeol(INFO,
"Total Elapsed Time "), omniout_timestr(total_clock_sec),
omniout_str_noeol(INFO, "Elapsed Time(since restart) "),
omniout_timestr(glob_clock_sec), if percent_done < 100.0
then (omniout_str_noeol(INFO, "Expected Time Remaining "),
omniout_timestr(expect_sec), omniout_str_noeol(INFO,
"Optimized Time Remaining "), omniout_timestr(glob_optimal_expect_sec),
omniout_str_noeol(INFO, "Expected Total Time "),
omniout_timestr(glob_total_exp_sec)), omniout_str_noeol(INFO,
"Time to Timeout "), omniout_timestr(left_sec),
omniout_float(INFO, "Percent Done ", 33, percent_done, 4,
"%")), 0)
(%i223) check_for_pole():=(
block(mode_declare([cnt],fixnum,[dr1,dr2,ds1,ds2,hdrc],
convfloat,[m,n],fixnum,[nr1,nr2],
convfloat,[ord_no],fixnum,
[term1,term2,term3,part1,part2,
part3,part4,part5,part6,part7,
part8,part9,part10,part11,part12,
part13,part14,rad_c,rcs,rm0,rm1,
rm2,rm3,rm4],convfloat,
[found_sing],fixnum,
[h_new,ratio,term,local_test,
tmp_rad,tmp_ord,tmp_ratio,
prev_tmp_rad],convfloat,[last_no],
fixnum),
glob_min_pole_est:glob_larger_float,
tmp_rad:glob_larger_float,
prev_tmp_rad:glob_larger_float,
tmp_ratio:glob_larger_float,
rad_c:glob_larger_float,
array_rad_test_poles[1,1]:glob_larger_float,
array_ord_test_poles[1,1]:glob_larger_float,
found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0,
while last_no < MAX_TERMS-3 and found_sing = 1 do
(tmp_rad
:comp_rad_from_ratio(
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],last_no),
tmp_ratio:tmp_rad/prev_tmp_rad,
if cnt > 0
and tmp_ratio
< glob_upper_ratio_limit
and tmp_ratio
> glob_lower_ratio_limit
then rad_c:tmp_rad elseif cnt = 0
then rad_c:tmp_rad elseif cnt > 0
then found_sing:0,
prev_tmp_rad:tmp_rad,cnt:1+cnt,
last_no:1+last_no),
if found_sing = 1
then (if rad_c < array_rad_test_poles[1,1]
then (
array_rad_test_poles[1,1]:rad_c,
last_no:last_no-1,
tmp_ord
:comp_ord_from_ratio(
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],
last_no),
array_rad_test_poles[1,1]:rad_c,
array_ord_test_poles[1,1]
:tmp_ord)),
glob_min_pole_est:glob_larger_float,
tmp_rad:glob_larger_float,
prev_tmp_rad:glob_larger_float,
tmp_ratio:glob_larger_float,
rad_c:glob_larger_float,
array_rad_test_poles[1,2]:glob_larger_float,
array_ord_test_poles[1,2]:glob_larger_float,
found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0,
while last_no < MAX_TERMS-4 and found_sing = 1 do
(tmp_rad
:comp_rad_from_three_terms(
array_y_higher[1,last_no-2],
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],last_no),
tmp_ratio:tmp_rad/prev_tmp_rad,
if cnt > 0
and tmp_ratio
< glob_upper_ratio_limit
and tmp_ratio
> glob_lower_ratio_limit
then rad_c:tmp_rad elseif cnt = 0
then rad_c:tmp_rad elseif cnt > 0
then found_sing:0,
prev_tmp_rad:tmp_rad,cnt:1+cnt,
last_no:1+last_no),
if found_sing = 1
then (if rad_c < array_rad_test_poles[1,2]
then (
array_rad_test_poles[1,2]:rad_c,
last_no:last_no-1,
tmp_ord
:comp_ord_from_three_terms(
array_y_higher[1,last_no-2],
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],
last_no),
array_rad_test_poles[1,2]:rad_c,
if rad_c < glob_min_pole_est
then glob_min_pole_est:rad_c,
array_ord_test_poles[1,2]
:tmp_ord)),
glob_min_pole_est:glob_larger_float,
tmp_rad:glob_larger_float,
prev_tmp_rad:glob_larger_float,
tmp_ratio:glob_larger_float,
rad_c:glob_larger_float,
array_rad_test_poles[1,3]:glob_larger_float,
array_ord_test_poles[1,3]:glob_larger_float,
found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0,
while last_no < MAX_TERMS-7 and found_sing = 1 do
(tmp_rad
:comp_rad_from_six_terms(
array_y_higher[1,last_no-5],
array_y_higher[1,last_no-4],
array_y_higher[1,last_no-3],
array_y_higher[1,last_no-2],
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],last_no),
tmp_ratio:tmp_rad/prev_tmp_rad,
if cnt > 0
and tmp_ratio
< glob_upper_ratio_limit
and tmp_ratio
> glob_lower_ratio_limit
then rad_c:tmp_rad elseif cnt = 0
then rad_c:tmp_rad elseif cnt > 0
then found_sing:0,
prev_tmp_rad:tmp_rad,cnt:1+cnt,
last_no:1+last_no),
if found_sing = 1
then (if rad_c < array_rad_test_poles[1,3]
then (
array_rad_test_poles[1,3]:rad_c,
last_no:last_no-1,
tmp_ord
:comp_ord_from_six_terms(
array_y_higher[1,last_no-5],
array_y_higher[1,last_no-4],
array_y_higher[1,last_no-3],
array_y_higher[1,last_no-2],
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],
last_no),
array_rad_test_poles[1,3]:rad_c,
if rad_c < glob_min_pole_est
then glob_min_pole_est:rad_c,
array_ord_test_poles[1,3]
:tmp_ord)),
if abs(glob_min_pole_est)*glob_ratio_of_radius
< abs(glob_h)
then (h_new
:glob_check_sign*glob_min_pole_est
*glob_ratio_of_radius,
term:1,ratio:1.0,
while term <= MAX_TERMS do
(
array_y[term]
:array_y[term]*ratio,
array_y_higher[1,term]
:array_y_higher[1,term]*ratio,
array_x[term]
:array_x[term]*ratio,
ratio:ratio*h_new/abs(glob_h),
term:1+term),glob_h:h_new),
if reached_interval() then display_poles()),0)
(%o223) check_for_pole() := (block(mode_declare([cnt], fixnum,
[dr1, dr2, ds1, ds2, hdrc], convfloat, [m, n], fixnum, [nr1, nr2], convfloat,
[ord_no], fixnum, [term1, term2, term3, part1, part2, part3, part4, part5,
part6, part7, part8, part9, part10, part11, part12, part13, part14, rad_c,
rcs, rm0, rm1, rm2, rm3, rm4], convfloat, [found_sing], fixnum,
[h_new, ratio, term, local_test, tmp_rad, tmp_ord, tmp_ratio, prev_tmp_rad],
convfloat, [last_no], fixnum), glob_min_pole_est : glob_larger_float,
tmp_rad : glob_larger_float, prev_tmp_rad : glob_larger_float,
tmp_ratio : glob_larger_float, rad_c : glob_larger_float,
array_rad_test_poles : glob_larger_float,
1, 1
array_ord_test_poles : glob_larger_float, found_sing : 1,
1, 1
last_no : - 10 - 1 + MAX_TERMS, cnt : 0,
while (last_no < MAX_TERMS - 3) and (found_sing = 1) do (tmp_rad :
comp_rad_from_ratio(array_y_higher , array_y_higher ,
1, last_no - 1 1, last_no
tmp_rad
last_no), tmp_ratio : ------------, if (cnt > 0)
prev_tmp_rad
and (tmp_ratio < glob_upper_ratio_limit)
and (tmp_ratio > glob_lower_ratio_limit) then rad_c : tmp_rad elseif cnt = 0
then rad_c : tmp_rad elseif cnt > 0 then found_sing : 0,
prev_tmp_rad : tmp_rad, cnt : 1 + cnt, last_no : 1 + last_no),
if found_sing = 1 then (if rad_c < array_rad_test_poles
1, 1
then (array_rad_test_poles : rad_c, last_no : last_no - 1,
1, 1
tmp_ord : comp_ord_from_ratio(array_y_higher ,
1, last_no - 1
array_y_higher , last_no), array_rad_test_poles : rad_c,
1, last_no 1, 1
array_ord_test_poles : tmp_ord)), glob_min_pole_est : glob_larger_float,
1, 1
tmp_rad : glob_larger_float, prev_tmp_rad : glob_larger_float,
tmp_ratio : glob_larger_float, rad_c : glob_larger_float,
array_rad_test_poles : glob_larger_float,
1, 2
array_ord_test_poles : glob_larger_float, found_sing : 1,
1, 2
last_no : - 10 - 1 + MAX_TERMS, cnt : 0,
while (last_no < MAX_TERMS - 4) and (found_sing = 1) do (tmp_rad :
comp_rad_from_three_terms(array_y_higher ,
1, last_no - 2
array_y_higher , array_y_higher , last_no),
1, last_no - 1 1, last_no
tmp_rad
tmp_ratio : ------------, if (cnt > 0) and (tmp_ratio < glob_upper_ratio_limit)
prev_tmp_rad
and (tmp_ratio > glob_lower_ratio_limit) then rad_c : tmp_rad elseif cnt = 0
then rad_c : tmp_rad elseif cnt > 0 then found_sing : 0,
prev_tmp_rad : tmp_rad, cnt : 1 + cnt, last_no : 1 + last_no),
if found_sing = 1 then (if rad_c < array_rad_test_poles
1, 2
then (array_rad_test_poles : rad_c, last_no : last_no - 1,
1, 2
tmp_ord : comp_ord_from_three_terms(array_y_higher ,
1, last_no - 2
array_y_higher , array_y_higher , last_no),
1, last_no - 1 1, last_no
array_rad_test_poles : rad_c, if rad_c < glob_min_pole_est
1, 2
then glob_min_pole_est : rad_c, array_ord_test_poles : tmp_ord)),
1, 2
glob_min_pole_est : glob_larger_float, tmp_rad : glob_larger_float,
prev_tmp_rad : glob_larger_float, tmp_ratio : glob_larger_float,
rad_c : glob_larger_float, array_rad_test_poles : glob_larger_float,
1, 3
array_ord_test_poles : glob_larger_float, found_sing : 1,
1, 3
last_no : - 10 - 1 + MAX_TERMS, cnt : 0,
while (last_no < MAX_TERMS - 7) and (found_sing = 1) do (tmp_rad :
comp_rad_from_six_terms(array_y_higher ,
1, last_no - 5
array_y_higher , array_y_higher ,
1, last_no - 4 1, last_no - 3
array_y_higher , array_y_higher ,
1, last_no - 2 1, last_no - 1
tmp_rad
array_y_higher , last_no), tmp_ratio : ------------,
1, last_no prev_tmp_rad
if (cnt > 0) and (tmp_ratio < glob_upper_ratio_limit)
and (tmp_ratio > glob_lower_ratio_limit) then rad_c : tmp_rad elseif cnt = 0
then rad_c : tmp_rad elseif cnt > 0 then found_sing : 0,
prev_tmp_rad : tmp_rad, cnt : 1 + cnt, last_no : 1 + last_no),
if found_sing = 1 then (if rad_c < array_rad_test_poles
1, 3
then (array_rad_test_poles : rad_c, last_no : last_no - 1,
1, 3
tmp_ord : comp_ord_from_six_terms(array_y_higher ,
1, last_no - 5
array_y_higher , array_y_higher ,
1, last_no - 4 1, last_no - 3
array_y_higher , array_y_higher ,
1, last_no - 2 1, last_no - 1
array_y_higher , last_no), array_rad_test_poles : rad_c,
1, last_no 1, 3
if rad_c < glob_min_pole_est then glob_min_pole_est : rad_c,
array_ord_test_poles : tmp_ord)), if mabs(glob_min_pole_est)
1, 3
glob_ratio_of_radius < mabs(glob_h) then (h_new :
glob_check_sign glob_min_pole_est glob_ratio_of_radius, term : 1, ratio : 1.0,
while term <= MAX_TERMS do (array_y : array_y ratio,
term term
array_y_higher : array_y_higher ratio,
1, term 1, term
ratio h_new
array_x : array_x ratio, ratio : ------------, term : 1 + term),
term term mabs(glob_h)
glob_h : h_new), if reached_interval() then display_poles()), 0)
(%i224) atomall():=(
block(mode_declare([[kkk,order_d],fixnum,
[adj2,adj3,temporary,term,temp,temp2],
convfloat]),
array_tmp1[1]:array_const_0D3[1]*array_x[1],
array_tmp2[1]:array_const_0D1[1]+array_tmp1[1],
array_tmp3[1]:sin(array_tmp2[1]),
array_tmp3_g[1]:cos(array_tmp2[1]),
array_tmp4[1]:array_tmp3[1]+array_const_0D0[1],
array_tmp5[1]:array_const_0D1[1]*array_x[1],
array_tmp6[1]:array_const_0D2[1]+array_tmp5[1],
array_tmp7[1]:array_tmp6[1]+array_tmp4[1],
if not array_y_set_initial[1,2]
then (if 1 <= MAX_TERMS
then (
temporary
:array_tmp7[1]*expt(glob_h,1)
*factorial_3(0,1),
if 2 <= MAX_TERMS
then (array_y[2]:temporary,
array_y_higher[1,2]:temporary),
temporary:temporary*1.0/glob_h,
array_y_higher[2,1]:temporary,0)),kkk:2,
array_tmp1[2]:array_const_0D3[1]*array_x[2],
array_tmp2[2]:array_tmp1[2],
array_tmp3[2]:array_tmp3_g[1]*array_tmp2[2]/1,
array_tmp3_g[2]:(-array_tmp3[1]*array_tmp2[2])/1,
array_tmp4[2]:array_tmp3[2],
array_tmp5[2]:array_const_0D1[1]*array_x[2],
array_tmp6[2]:array_tmp5[2],
array_tmp7[2]:array_tmp6[2]+array_tmp4[2],
if not array_y_set_initial[1,3]
then (if 2 <= MAX_TERMS
then (
temporary
:array_tmp7[2]*expt(glob_h,1)
*factorial_3(1,2),
if 3 <= MAX_TERMS
then (array_y[3]:temporary,
array_y_higher[1,3]:temporary),
temporary:temporary*2.0/glob_h,
array_y_higher[2,2]:temporary,0)),kkk:3,
array_tmp3[3]:array_tmp3_g[2]*array_tmp2[2]/2,
array_tmp3_g[3]:(-array_tmp3[2]*array_tmp2[2])/2,
array_tmp4[3]:array_tmp3[3],array_tmp7[3]:array_tmp4[3],
if not array_y_set_initial[1,4]
then (if 3 <= MAX_TERMS
then (
temporary
:array_tmp7[3]*expt(glob_h,1)
*factorial_3(2,3),
if 4 <= MAX_TERMS
then (array_y[4]:temporary,
array_y_higher[1,4]:temporary),
temporary:temporary*3.0/glob_h,
array_y_higher[2,3]:temporary,0)),kkk:4,
array_tmp3[4]:array_tmp3_g[3]*array_tmp2[2]/3,
array_tmp3_g[4]:(-array_tmp3[3]*array_tmp2[2])/3,
array_tmp4[4]:array_tmp3[4],array_tmp7[4]:array_tmp4[4],
if not array_y_set_initial[1,5]
then (if 4 <= MAX_TERMS
then (
temporary
:array_tmp7[4]*expt(glob_h,1)
*factorial_3(3,4),
if 5 <= MAX_TERMS
then (array_y[5]:temporary,
array_y_higher[1,5]:temporary),
temporary:temporary*4.0/glob_h,
array_y_higher[2,4]:temporary,0)),kkk:5,
array_tmp3[5]:array_tmp3_g[4]*array_tmp2[2]/4,
array_tmp3_g[5]:(-array_tmp3[4]*array_tmp2[2])/4,
array_tmp4[5]:array_tmp3[5],array_tmp7[5]:array_tmp4[5],
if not array_y_set_initial[1,6]
then (if 5 <= MAX_TERMS
then (
temporary
:array_tmp7[5]*expt(glob_h,1)
*factorial_3(4,5),
if 6 <= MAX_TERMS
then (array_y[6]:temporary,
array_y_higher[1,6]:temporary),
temporary:temporary*5.0/glob_h,
array_y_higher[2,5]:temporary,0)),kkk:6,
while kkk <= MAX_TERMS do
(array_tmp3[kkk]
:array_tmp3_g[kkk-1]*array_tmp2[2]/(kkk-1),
array_tmp3_g[kkk]
:(-array_tmp3[kkk-1]*array_tmp2[2])/(kkk-1),
array_tmp4[kkk]:array_tmp3[kkk],
array_tmp7[kkk]:array_tmp4[kkk],order_d:1,
if order_d+kkk <= MAX_TERMS
then (if
not array_y_set_initial[1,order_d+kkk]
then (
temporary
:array_tmp7[kkk]*expt(glob_h,order_d)
*factorial_3(kkk-1,
-1+order_d
+kkk),
array_y[order_d+kkk]:temporary,
array_y_higher[1,order_d+kkk]:temporary,
term:-1+order_d+kkk,adj2:-1+order_d+kkk,
adj3:2,
while term >= 1 and term <= MAX_TERMS
and adj3 < 1+order_d do
(
if adj3 <= 1+order_d
then (
if adj2 > 0
then temporary
:temporary*adj2/glob_h
else temporary:temporary,
array_y_higher[adj3,term]
:temporary),term:term-1,
adj2:adj2-1,adj3:1+adj3))),
kkk:1+kkk)),0)
(%o224) atomall() := (block(mode_declare([[kkk, order_d], fixnum,
[adj2, adj3, temporary, term, temp, temp2], convfloat]),
array_tmp1 : array_const_0D3 array_x ,
1 1 1
array_tmp2 : array_const_0D1 + array_tmp1 , array_tmp3 : sin(array_tmp2 ),
1 1 1 1 1
array_tmp3_g : cos(array_tmp2 ), array_tmp4 :
1 1 1
array_tmp3 + array_const_0D0 , array_tmp5 : array_const_0D1 array_x ,
1 1 1 1 1
array_tmp6 : array_const_0D2 + array_tmp5 ,
1 1 1
array_tmp7 : array_tmp6 + array_tmp4 ,
1 1 1
if not array_y_set_initial then (if 1 <= MAX_TERMS
1, 2
then (temporary : array_tmp7 expt(glob_h, 1) factorial_3(0, 1),
1
if 2 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
2 1, 2
temporary 1.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 2,
glob_h 2, 1
array_tmp1 : array_const_0D3 array_x , array_tmp2 : array_tmp1 ,
2 1 2 2 2
array_tmp3_g array_tmp2
1 2
array_tmp3 : -------------------------,
2 1
- array_tmp3 array_tmp2
1 2
array_tmp3_g : -------------------------, array_tmp4 : array_tmp3 ,
2 1 2 2
array_tmp5 : array_const_0D1 array_x , array_tmp6 : array_tmp5 ,
2 1 2 2 2
array_tmp7 : array_tmp6 + array_tmp4 ,
2 2 2
if not array_y_set_initial then (if 2 <= MAX_TERMS
1, 3
then (temporary : array_tmp7 expt(glob_h, 1) factorial_3(1, 2),
2
if 3 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 3,
glob_h 2, 2
array_tmp3_g array_tmp2
2 2
array_tmp3 : -------------------------,
3 2
- array_tmp3 array_tmp2
2 2
array_tmp3_g : -------------------------, array_tmp4 : array_tmp3 ,
3 2 3 3
array_tmp7 : array_tmp4 , if not array_y_set_initial
3 3 1, 4
then (if 3 <= MAX_TERMS then (temporary :
array_tmp7 expt(glob_h, 1) factorial_3(2, 3),
3
if 4 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
4 1, 4
temporary 3.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 4,
glob_h 2, 3
array_tmp3_g array_tmp2
3 2
array_tmp3 : -------------------------,
4 3
- array_tmp3 array_tmp2
3 2
array_tmp3_g : -------------------------, array_tmp4 : array_tmp3 ,
4 3 4 4
array_tmp7 : array_tmp4 , if not array_y_set_initial
4 4 1, 5
then (if 4 <= MAX_TERMS then (temporary :
array_tmp7 expt(glob_h, 1) factorial_3(3, 4),
4
if 5 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
5 1, 5
temporary 4.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 5,
glob_h 2, 4
array_tmp3_g array_tmp2
4 2
array_tmp3 : -------------------------,
5 4
- array_tmp3 array_tmp2
4 2
array_tmp3_g : -------------------------, array_tmp4 : array_tmp3 ,
5 4 5 5
array_tmp7 : array_tmp4 , if not array_y_set_initial
5 5 1, 6
then (if 5 <= MAX_TERMS then (temporary :
array_tmp7 expt(glob_h, 1) factorial_3(4, 5),
5
if 6 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
6 1, 6
temporary 5.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 6,
glob_h 2, 5
array_tmp3_g array_tmp2
kkk - 1 2
while kkk <= MAX_TERMS do (array_tmp3 : -------------------------------,
kkk kkk - 1
- array_tmp3 array_tmp2
kkk - 1 2
array_tmp3_g : -------------------------------,
kkk kkk - 1
array_tmp4 : array_tmp3 , array_tmp7 : array_tmp4 , order_d : 1,
kkk kkk kkk kkk
if order_d + kkk <= MAX_TERMS then (if not array_y_set_initial
1, order_d + kkk
then (temporary : array_tmp7 expt(glob_h, order_d)
kkk
factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary,
order_d + kkk
array_y_higher : temporary, term : - 1 + order_d + kkk,
1, order_d + kkk
adj2 : - 1 + order_d + kkk, adj3 : 2, while (term >= 1)
and (term <= MAX_TERMS) and (adj3 < 1 + order_d) do (if adj3 <= 1 + order_d
temporary adj2
then (if adj2 > 0 then temporary : -------------- else temporary : temporary,
glob_h
array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1,
adj3, term
adj3 : 1 + adj3))), kkk : 1 + kkk)), 0)
(%i225) exact_soln_y(x):=block((-cos(0.1+0.3*x))/0.3+0.2*x+0.05*x*x)
- cos(0.1 + 0.3 x)
(%o225) exact_soln_y(x) := block(------------------ + 0.2 x + 0.05 x x)
0.3
(%i226) main_prog():=block(
mode_declare([[d1,d2,d3,d4,est_err_2],convfloat,
[niii,done_once,term,ord,order_diff,term_no,
html_log_file,iiif,jjjf,rows,r_order,
sub_iter,calc_term,iii],fixnum,[temp_sum],
convfloat,[current_iter],fixnum,
[x_start,x_end],convfloat,[it,opt_iter],
fixnum,[tmp],convfloat,[subiter],fixnum,
[est_needed_step_err,estimated_step_error,
min_value,est_answer,best_h,found_h],
convfloat,[repeat_it],fixnum]),Digits:32,
max_terms:30,glob_html_log:true,term:1,
while term <= MAX_TERMS do
(array_y_init[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_norms[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_fact_1[term]:0.0,term:1+term),term:1,
while term <= 2 do
(array_1st_rel_error[term]:0.0,term:1+term),term:1,
while term <= 2 do
(array_last_rel_error[term]:0.0,term:1+term),term:1,
while term <= 2 do (array_type_pole[term]:0,term:1+term),
term:1,
while term <= 2 do
(array_type_real_pole[term]:0,term:1+term),term:1,
while term <= 2 do
(array_type_complex_pole[term]:0,term:1+term),term:1,
while term <= MAX_TERMS do (array_y[term]:0.0,term:1+term),
term:1,
while term <= MAX_TERMS do (array_x[term]:0.0,term:1+term),
term:1,
while term <= MAX_TERMS do
(array_tmp0[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp1[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp2[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp3_g[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp3[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp4[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp5[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp6[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp7[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do (array_m1[term]:0.0,term:1+term),
ord:1,
while ord <= 2 do
(term:1,
while term <= MAX_TERMS do
(array_y_higher[ord,term]:0.0,term:1+term),
ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= MAX_TERMS do
(array_y_higher_work[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= MAX_TERMS do
(array_y_higher_work2[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= MAX_TERMS do
(array_y_set_initial[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 3 do
(array_given_rad_poles[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 3 do
(array_given_ord_poles[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 3 do
(array_rad_test_poles[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 3 do
(array_ord_test_poles[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= MAX_TERMS do
(term:1,
while term <= MAX_TERMS do
(array_fact_2[ord,term]:0.0,term:1+term),
ord:1+ord),zero_ats_ar(array_y),zero_ats_ar(array_x),
zero_ats_ar(array_tmp0),zero_ats_ar(array_tmp1),
zero_ats_ar(array_tmp2),zero_ats_ar(array_tmp3_g),
zero_ats_ar(array_tmp3),zero_ats_ar(array_tmp4),
zero_ats_ar(array_tmp5),zero_ats_ar(array_tmp6),
zero_ats_ar(array_tmp7),zero_ats_ar(array_m1),
zero_ats_ar(array_const_1),array_const_1[1]:1,
zero_ats_ar(array_const_0D0),array_const_0D0[1]:0.0,
zero_ats_ar(array_const_0D3),array_const_0D3[1]:0.3,
zero_ats_ar(array_const_0D1),array_const_0D1[1]:0.1,
zero_ats_ar(array_const_0D2),array_const_0D2[1]:0.2,
zero_ats_ar(array_m1),array_m1[1]:-1.0,iiif:0,
while iiif <= MAX_TERMS do
(jjjf:0,
while jjjf <= MAX_TERMS do
(array_fact_1[iiif]:0,
array_fact_2[iiif,jjjf]:0,jjjf:1+jjjf),
iiif:1+iiif),array_y_set_initial[1,1]:true,
array_y_set_initial[1,2]:false,
array_y_set_initial[1,3]:false,
array_y_set_initial[1,4]:false,
array_y_set_initial[1,5]:false,
array_y_set_initial[1,6]:false,
array_y_set_initial[1,7]:false,
array_y_set_initial[1,8]:false,
array_y_set_initial[1,9]:false,
array_y_set_initial[1,10]:false,
array_y_set_initial[1,11]:false,
array_y_set_initial[1,12]:false,
array_y_set_initial[1,13]:false,
array_y_set_initial[1,14]:false,
array_y_set_initial[1,15]:false,
array_y_set_initial[1,16]:false,
array_y_set_initial[1,17]:false,
array_y_set_initial[1,18]:false,
array_y_set_initial[1,19]:false,
array_y_set_initial[1,20]:false,
array_y_set_initial[1,21]:false,
array_y_set_initial[1,22]:false,
array_y_set_initial[1,23]:false,
array_y_set_initial[1,24]:false,
array_y_set_initial[1,25]:false,
array_y_set_initial[1,26]:false,
array_y_set_initial[1,27]:false,
array_y_set_initial[1,28]:false,
array_y_set_initial[1,29]:false,
array_y_set_initial[1,30]:false,ALWAYS:1,INFO:2,DEBUGL:3,
DEBUGMASSIVE:4,MAX_TERMS:30,glob_iolevel:INFO,
glob_orig_start_sec:elapsed_time_seconds(),
glob_curr_iter_when_opt:0,glob_display_flag:true,
glob_no_eqs:1,glob_iter:-1,opt_iter:-1,glob_max_iter:50000,
glob_max_hours:0.0,glob_max_minutes:15.0,
omniout_str(ALWAYS,
"##############ECHO OF PROBLEM#################"),
omniout_str(ALWAYS,
"##############temp/add_full_linpostode.ode#################"),
omniout_str(ALWAYS,
"diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) + ( 0.1 * x + 0.2 ) ; "),
omniout_str(ALWAYS,"!"),
omniout_str(ALWAYS,"/* BEGIN FIRST INPUT BLOCK */"),
omniout_str(ALWAYS,"Digits:32,"),
omniout_str(ALWAYS,"max_terms:30,"),omniout_str(ALWAYS,"!"),
omniout_str(ALWAYS,"/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS,"/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS,"x_start:-5.0,"),
omniout_str(ALWAYS,"x_end:5.0,"),
omniout_str(ALWAYS,
"array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS,"glob_display_interval:0.1,"),
omniout_str(ALWAYS,"glob_look_poles:true,"),
omniout_str(ALWAYS,"glob_max_iter:1000000,"),
omniout_str(ALWAYS,"glob_max_minutes:10,"),
omniout_str(ALWAYS,"/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS,"/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS,"glob_desired_digits_correct:10,"),
omniout_str(ALWAYS,"glob_display_interval:0.01,"),
omniout_str(ALWAYS,"glob_look_poles:true,"),
omniout_str(ALWAYS,"glob_max_iter:1000000000,"),
omniout_str(ALWAYS,"glob_max_minutes:10.0,"),
omniout_str(ALWAYS,"glob_subiter_method:3,"),
omniout_str(ALWAYS,"/* END OVERRIDE BLOCK */"),
omniout_str(ALWAYS,"!"),
omniout_str(ALWAYS,"/* BEGIN USER DEF BLOCK */"),
omniout_str(ALWAYS,"exact_soln_y (x) := (block("),
omniout_str(ALWAYS,
" (0.05 * x * x + 0.2 * x - cos(0.3 * x + 0.1) / 0.3) "),
omniout_str(ALWAYS,"));"),
omniout_str(ALWAYS,"/* END USER DEF BLOCK */"),
omniout_str(ALWAYS,
"#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt:0,glob_warned:false,glob_warned2:false,
glob_small_float:0.0,glob_smallish_float:0.0,
glob_large_float:1.0E+100,glob_larger_float:1.1E+100,
glob_almost_1:0.99,x_start:-5.0,x_end:5.0,
array_y_init[1+0]:exact_soln_y(x_start),
glob_display_interval:0.1,glob_look_poles:true,
glob_max_iter:1000000,glob_max_minutes:10,
glob_desired_digits_correct:10,glob_display_interval:0.01,
glob_look_poles:true,glob_max_iter:1000000000,
glob_max_minutes:10.0,glob_subiter_method:3,
glob_last_good_h:glob_h,
glob_max_sec:3600.0*glob_max_hours+60.0*glob_max_minutes,
omniout_str(ALWAYS,"START of Optimize"),
glob_check_sign:my_check_sign(x_start,x_end),found_h:false,
glob_h:glob_min_h*glob_check_sign,
if abs(glob_max_h) < abs(glob_h)
then glob_h:abs(glob_max_h)*glob_check_sign,
if abs(glob_display_interval) < abs(glob_h)
then glob_h:abs(glob_display_interval),
if glob_h > 0.0
then (glob_neg_h:false,
glob_display_interval:abs(glob_display_interval))
else (glob_neg_h:true,
glob_display_interval
:-abs(glob_display_interval)),chk_data(),
best_h:glob_h,min_value:glob_larger_float,
est_answer:est_size_answer(),opt_iter:1,
est_needed_step_err:estimated_needed_step_error(
x_start,x_end,glob_h,est_answer),
omniout_float(ALWAYS,"est_needed_step_err",32,
est_needed_step_err,16,""),
estimated_step_error:0.0,
while opt_iter <= 100 and not found_h do
(omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,""),
array_x[1]:x_start,array_x[2]:glob_h,
glob_next_display:x_start,order_diff:1,term_no:1,
while term_no <= order_diff do
(array_y[term_no]
:array_y_init[term_no]*expt(glob_h,term_no-1)
/factorial_1(term_no-1),term_no:1+term_no),
rows:order_diff,r_order:1,
while r_order <= rows do
(term_no:1,
while term_no <= 1-r_order+rows do
(it:-1+r_order+term_no,
if term_no < MAX_TERMS
then array_y_higher[
r_order,term_no]
:array_y_init[it]
*expt(glob_h,term_no-1)
/factorial_1(term_no-1),
term_no:1+term_no),r_order:1+r_order),
atomall(),estimated_step_error:test_suggested_h(),
omniout_float(ALWAYS,"estimated_step_error",32,
estimated_step_error,32,""),
if estimated_step_error > est_needed_step_err
and opt_iter = 1
or glob_check_sign*glob_h
>= glob_check_sign*glob_max_h
then (found_h:true,
glob_h:glob_check_sign*glob_max_h,
best_h:glob_h)
elseif estimated_step_error > est_needed_step_err
and not found_h
then (glob_h:glob_h/2.0,best_h:glob_h,
found_h:true)
else (glob_h:glob_h*2.0,best_h:glob_h),
omniout_float(ALWAYS,"best_h",32,best_h,32,""),
opt_iter:1+opt_iter),
if not found_h and opt_iter = 1
then (omniout_str(ALWAYS,"Beginning glob_h too large."),
found_h:false),
if opt_iter > 100
then (glob_h:glob_check_sign*glob_max_h,found_h:false),
if glob_check_sign*glob_display_interval
< glob_check_sign*glob_h
then glob_h:glob_check_sign*glob_display_interval,
if glob_html_log then html_log_file:openw("entry.html"),
if found_h
then (omniout_str(ALWAYS,"START of Soultion"),
array_x[1]:x_start,array_x[2]:glob_h,
glob_next_display:x_start,order_diff:1,term_no:1,
while term_no <= order_diff do
(array_y[term_no]
:array_y_init[term_no]
*expt(glob_h,term_no-1)
/factorial_1(term_no-1),
term_no:1+term_no),rows:order_diff,
r_order:1,
while r_order <= rows do
(term_no:1,
while term_no <= 1-r_order+rows do
(it:-1+r_order+term_no,
if term_no < MAX_TERMS
then array_y_higher[
r_order,term_no]
:array_y_init[it]
*expt(glob_h,term_no-1)
/factorial_1(term_no-1),
term_no:1+term_no),
r_order:1+r_order),current_iter:1,
glob_clock_start_sec:elapsed_time_seconds(),
glob_clock_sec:elapsed_time_seconds(),
glob_current_iter:0,glob_iter:0,
omniout_str(DEBUGL," "),
glob_reached_optimal_h:true,
glob_optimal_clock_start_sec
:elapsed_time_seconds(),
while glob_current_iter < glob_max_iter
and glob_check_sign*array_x[1]
< glob_check_sign*x_end
and glob_clock_sec-glob_orig_start_sec
< glob_max_sec do
(if reached_interval()
then (omniout_str(INFO," "),
omniout_str(INFO,
"TOP MAIN SOLVE Loop")),
glob_iter:1+glob_iter,
glob_clock_sec:elapsed_time_seconds(),
glob_current_iter:1+glob_current_iter,
atomall(),display_alot(current_iter),
if glob_look_poles then check_for_pole(),
if reached_interval()
then glob_next_display
:glob_display_interval
+glob_next_display,
array_x[1]:glob_h+array_x[1],
array_x[2]:glob_h,order_diff:2,ord:2,
calc_term:1,iii:MAX_TERMS,
while iii >= calc_term do
(
array_y_higher_work[2,iii]
:array_y_higher[2,iii]
/expt(glob_h,calc_term-1)
/factorial_3(iii-calc_term,iii-1),
iii:iii-1),temp_sum:0.0,ord:2,
calc_term:1,iii:MAX_TERMS,
while iii >= calc_term do
(
temp_sum
:array_y_higher_work[ord,iii]
+temp_sum,iii:iii-1),
array_y_higher_work2[ord,calc_term]
:temp_sum*expt(glob_h,calc_term-1)
/factorial_1(calc_term-1),ord:1,
calc_term:2,iii:MAX_TERMS,
while iii >= calc_term do
(
array_y_higher_work[1,iii]
:array_y_higher[1,iii]
/expt(glob_h,calc_term-1)
/factorial_3(iii-calc_term,iii-1),
iii:iii-1),temp_sum:0.0,ord:1,
calc_term:2,iii:MAX_TERMS,
while iii >= calc_term do
(
temp_sum
:array_y_higher_work[ord,iii]
+temp_sum,iii:iii-1),
array_y_higher_work2[ord,calc_term]
:temp_sum*expt(glob_h,calc_term-1)
/factorial_1(calc_term-1),ord:1,
calc_term:1,iii:MAX_TERMS,
while iii >= calc_term do
(
array_y_higher_work[1,iii]
:array_y_higher[1,iii]
/expt(glob_h,calc_term-1)
/factorial_3(iii-calc_term,iii-1),
iii:iii-1),temp_sum:0.0,ord:1,
calc_term:1,iii:MAX_TERMS,
while iii >= calc_term do
(
temp_sum
:array_y_higher_work[ord,iii]
+temp_sum,iii:iii-1),
array_y_higher_work2[ord,calc_term]
:temp_sum*expt(glob_h,calc_term-1)
/factorial_1(calc_term-1),
term_no:MAX_TERMS,
while term_no >= 1 do
(
array_y[term_no]
:array_y_higher_work2[1,term_no],
ord:1,
while ord <= order_diff do
(
array_y_higher[ord,term_no]
:array_y_higher_work2[
ord,term_no],ord:1+ord),
term_no:term_no-1)),
omniout_str(ALWAYS,"Finished!"),
if glob_iter >= glob_max_iter
then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds()-glob_orig_start_sec
>= glob_max_sec
then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec:elapsed_time_seconds(),
omniout_str(INFO,
"diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) + ( 0.1 * x + 0.2 ) ; "),
omniout_int(INFO,
"Iterations ",32,
glob_iter,4," "),
prog_report(x_start,x_end),
if glob_html_log
then (logstart(html_log_file),
logitem_str(html_log_file,
"2014-01-08T19:33:37-06:00"),
logitem_str(html_log_file,"Maxima"),
logitem_str(html_log_file,
"add_full_lin"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) + ( 0.1 * x + 0.2 ) ; "),
logitem_float(html_log_file,x_start),
logitem_float(html_log_file,x_end),
logitem_float(html_log_file,array_x[1]),
logitem_float(html_log_file,glob_h),
logitem_str(html_log_file,"16"),
logitem_good_digits(html_log_file,
array_last_rel_error[
1]),
logitem_integer(html_log_file,
MAX_TERMS),
if
glob_least_given_sing
< glob_large_float
then (
logitem_float(html_log_file,
glob_least_given_sing),
0)
else (
logitem_str(html_log_file,
"NOT GIVEN"),0),
if
glob_least_ratio_sing
< glob_large_float
then (
logitem_float(html_log_file,
glob_least_ratio_sing),
0)
else (
logitem_str(html_log_file,"NONE"),0),
if glob_least_3_sing < glob_large_float
then (
logitem_float(html_log_file,
glob_least_3_sing),0)
else (
logitem_str(html_log_file,"NONE"),
0),
if glob_least_6_sing < glob_large_float
then (
logitem_float(html_log_file,
glob_least_6_sing),0)
else (
logitem_str(html_log_file,"NONE"),
0),
logitem_integer(html_log_file,
glob_iter),
logitem_time(html_log_file,
glob_clock_sec),
if glob_percent_done < 100.0
then (
logitem_time(html_log_file,
glob_total_exp_sec),0)
else (
logitem_str(html_log_file,"Done"),
0),
log_revs(html_log_file,
" 225 | "),
logitem_str(html_log_file,
"add_full_lin diffeq.max"),
logitem_str(html_log_file,
"add_full_lin maxima results"),
logitem_str(html_log_file,
"All Tests - Maxima only - to save time"),
logend(html_log_file)),
if glob_html_log then close(html_log_file)))
(%o226) main_prog() := block(mode_declare([[d1, d2, d3, d4, est_err_2],
convfloat, [niii, done_once, term, ord, order_diff, term_no, html_log_file,
iiif, jjjf, rows, r_order, sub_iter, calc_term, iii], fixnum, [temp_sum],
convfloat, [current_iter], fixnum, [x_start, x_end], convfloat,
[it, opt_iter], fixnum, [tmp], convfloat, [subiter], fixnum,
[est_needed_step_err, estimated_step_error, min_value, est_answer, best_h,
found_h], convfloat, [repeat_it], fixnum]), Digits : 32, max_terms : 30,
glob_html_log : true, term : 1, while term <=
MAX_TERMS do (array_y_init : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_norms : 0.0, term : 1 + term),
term
term : 1, while term <= MAX_TERMS do (array_fact_1 : 0.0,
term
term : 1 + term), term : 1, while term <=
2 do (array_1st_rel_error : 0.0, term : 1 + term), term : 1,
term
while term <= 2 do (array_last_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= 2 do (array_type_pole : 0, term : 1 + term),
term
term : 1, while term <= 2 do (array_type_real_pole : 0, term : 1 + term),
term
term : 1, while term <= 2 do (array_type_complex_pole : 0,
term
term : 1 + term), term : 1, while term <= MAX_TERMS do (array_y : 0.0,
term
term : 1 + term), term : 1, while term <= MAX_TERMS do (array_x : 0.0,
term
term : 1 + term), term : 1, while term <= MAX_TERMS do (array_tmp0 : 0.0,
term
term : 1 + term), term : 1, while term <= MAX_TERMS do (array_tmp1 : 0.0,
term
term : 1 + term), term : 1, while term <= MAX_TERMS do (array_tmp2 : 0.0,
term
term : 1 + term), term : 1, while term <=
MAX_TERMS do (array_tmp3_g : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_tmp3 : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_tmp4 : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_tmp5 : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_tmp6 : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_tmp7 : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_m1 : 0.0, term : 1 + term), ord : 1,
term
while ord <= 2 do (term : 1, while term <=
MAX_TERMS do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 2 do (term : 1,
while term <= MAX_TERMS do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
MAX_TERMS do (array_y_higher_work2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= MAX_TERMS do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
3 do (array_given_rad_poles : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_given_ord_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_rad_test_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_ord_test_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= MAX_TERMS do (term : 1,
while term <= MAX_TERMS do (array_fact_2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), zero_ats_ar(array_y), zero_ats_ar(array_x),
zero_ats_ar(array_tmp0), zero_ats_ar(array_tmp1), zero_ats_ar(array_tmp2),
zero_ats_ar(array_tmp3_g), zero_ats_ar(array_tmp3), zero_ats_ar(array_tmp4),
zero_ats_ar(array_tmp5), zero_ats_ar(array_tmp6), zero_ats_ar(array_tmp7),
zero_ats_ar(array_m1), zero_ats_ar(array_const_1), array_const_1 : 1,
1
zero_ats_ar(array_const_0D0), array_const_0D0 : 0.0,
1
zero_ats_ar(array_const_0D3), array_const_0D3 : 0.3,
1
zero_ats_ar(array_const_0D1), array_const_0D1 : 0.1,
1
zero_ats_ar(array_const_0D2), array_const_0D2 : 0.2, zero_ats_ar(array_m1),
1
array_m1 : - 1.0, iiif : 0, while iiif <= MAX_TERMS do (jjjf : 0,
1
while jjjf <= MAX_TERMS do (array_fact_1 : 0, array_fact_2 : 0,
iiif iiif, jjjf
jjjf : 1 + jjjf), iiif : 1 + iiif), array_y_set_initial : true,
1, 1
array_y_set_initial : false, array_y_set_initial : false,
1, 2 1, 3
array_y_set_initial : false, array_y_set_initial : false,
1, 4 1, 5
array_y_set_initial : false, array_y_set_initial : false,
1, 6 1, 7
array_y_set_initial : false, array_y_set_initial : false,
1, 8 1, 9
array_y_set_initial : false, array_y_set_initial : false,
1, 10 1, 11
array_y_set_initial : false, array_y_set_initial : false,
1, 12 1, 13
array_y_set_initial : false, array_y_set_initial : false,
1, 14 1, 15
array_y_set_initial : false, array_y_set_initial : false,
1, 16 1, 17
array_y_set_initial : false, array_y_set_initial : false,
1, 18 1, 19
array_y_set_initial : false, array_y_set_initial : false,
1, 20 1, 21
array_y_set_initial : false, array_y_set_initial : false,
1, 22 1, 23
array_y_set_initial : false, array_y_set_initial : false,
1, 24 1, 25
array_y_set_initial : false, array_y_set_initial : false,
1, 26 1, 27
array_y_set_initial : false, array_y_set_initial : false,
1, 28 1, 29
array_y_set_initial : false, ALWAYS : 1, INFO : 2, DEBUGL : 3,
1, 30
DEBUGMASSIVE : 4, MAX_TERMS : 30, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), glob_curr_iter_when_opt : 0,
glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1,
glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0,
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"),
omniout_str(ALWAYS,
"##############temp/add_full_linpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 )\
+ ( 0.1 * x + 0.2 ) ; "), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "Digits:32,"), omniout_str(ALWAYS, "max_terms:30,"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start:-5.0,"), omniout_str(ALWAYS, "x_end:5.0,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_display_interval:0.1,"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:1000000,"),
omniout_str(ALWAYS, "glob_max_minutes:10,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_desired_digits_correct:10,"),
omniout_str(ALWAYS, "glob_display_interval:0.01,"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:1000000000,"),
omniout_str(ALWAYS, "glob_max_minutes:10.0,"),
omniout_str(ALWAYS, "glob_subiter_method:3,"),
omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"),
omniout_str(ALWAYS, "exact_soln_y (x) := (block("),
omniout_str(ALWAYS, " (0.05 * x * x + 0.2 * x - cos(0.3 * x + 0.1) / 0.3) "),
omniout_str(ALWAYS, "));"), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"),
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false,
glob_small_float : 0.0, glob_smallish_float : 0.0,
glob_large_float : 1.0E+100, glob_larger_float : 1.1E+100,
glob_almost_1 : 0.99, x_start : - 5.0, x_end : 5.0,
array_y_init : exact_soln_y(x_start), glob_display_interval : 0.1,
1 + 0
glob_look_poles : true, glob_max_iter : 1000000, glob_max_minutes : 10,
glob_desired_digits_correct : 10, glob_display_interval : 0.01,
glob_look_poles : true, glob_max_iter : 1000000000, glob_max_minutes : 10.0,
glob_subiter_method : 3, glob_last_good_h : glob_h,
glob_max_sec : 3600.0 glob_max_hours + 60.0 glob_max_minutes,
omniout_str(ALWAYS, "START of Optimize"),
glob_check_sign : my_check_sign(x_start, x_end), found_h : false,
glob_h : glob_min_h glob_check_sign, if mabs(glob_max_h) < mabs(glob_h)
then glob_h : mabs(glob_max_h) glob_check_sign,
if mabs(glob_display_interval) < mabs(glob_h)
then glob_h : mabs(glob_display_interval),
if glob_h > 0.0 then (glob_neg_h : false,
glob_display_interval : mabs(glob_display_interval))
else (glob_neg_h : true, glob_display_interval :
- mabs(glob_display_interval)), chk_data(), best_h : glob_h,
min_value : glob_larger_float, est_answer : est_size_answer(), opt_iter : 1,
est_needed_step_err : estimated_needed_step_error(x_start, x_end, glob_h,
est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, ""), estimated_step_error : 0.0,
while (opt_iter <= 100) and (not found_h) do (omniout_int(ALWAYS, "opt_iter",
32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h,
1 2
glob_next_display : x_start, order_diff : 1, term_no : 1,
while term_no <= order_diff do (array_y :
term_no
array_y_init expt(glob_h, term_no - 1)
term_no
---------------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
if term_no < MAX_TERMS then array_y_higher :
r_order, term_no
array_y_init expt(glob_h, term_no - 1)
it
----------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
r_order : 1 + r_order), atomall(), estimated_step_error : test_suggested_h(),
omniout_float(ALWAYS, "estimated_step_error", 32, estimated_step_error, 32,
""), if ((estimated_step_error > est_needed_step_err) and (opt_iter = 1))
or (glob_check_sign glob_h >= glob_check_sign glob_max_h)
then (found_h : true, glob_h : glob_check_sign glob_max_h, best_h : glob_h)
elseif (estimated_step_error > est_needed_step_err) and (not found_h)
glob_h
then (glob_h : ------, best_h : glob_h, found_h : true)
2.0
else (glob_h : glob_h 2.0, best_h : glob_h),
omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter),
if (not found_h) and (opt_iter = 1) then (omniout_str(ALWAYS,
"Beginning glob_h too large."), found_h : false),
if opt_iter > 100 then (glob_h : glob_check_sign glob_max_h, found_h : false),
if glob_check_sign glob_display_interval < glob_check_sign glob_h
then glob_h : glob_check_sign glob_display_interval,
if glob_html_log then html_log_file : openw("entry.html"),
if found_h then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, glob_next_display : x_start, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
array_y_init expt(glob_h, term_no - 1)
term_no
---------------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
if term_no < MAX_TERMS then array_y_higher :
r_order, term_no
array_y_init expt(glob_h, term_no - 1)
it
----------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(),
glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0,
omniout_str(DEBUGL, " "), glob_reached_optimal_h : true,
glob_optimal_clock_start_sec : elapsed_time_seconds(),
while (glob_current_iter < glob_max_iter)
and (glob_check_sign array_x < glob_check_sign x_end)
1
and (glob_clock_sec - glob_orig_start_sec < glob_max_sec) do (if reached_interval
() then (omniout_str(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop")),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
display_alot(current_iter), if glob_look_poles then check_for_pole(),
if reached_interval() then glob_next_display :
glob_display_interval + glob_next_display, array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 2, ord : 2, calc_term : 1, iii : MAX_TERMS,
2
while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : MAX_TERMS,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, ord : 1, calc_term : 2, iii : MAX_TERMS,
factorial_1(calc_term - 1)
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : MAX_TERMS,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, ord : 1, calc_term : 1, iii : MAX_TERMS,
factorial_1(calc_term - 1)
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : MAX_TERMS,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, term_no : MAX_TERMS,
factorial_1(calc_term - 1)
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)),
ord, term_no
omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter
then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - glob_orig_start_sec >= glob_max_sec
then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x \
, 1 ) = sin ( 0.3 * x + 0.1 ) + ( 0.1 * x + 0.2 ) ; "),
omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "),
prog_report(x_start, x_end), if glob_html_log
then (logstart(html_log_file), logitem_str(html_log_file,
"2014-01-08T19:33:37-06:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "add_full_lin"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = sin ( 0.3 * x +\
0.1 ) + ( 0.1 * x + 0.2 ) ; "),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file,
array_last_rel_error ), logitem_integer(html_log_file, MAX_TERMS),
1
if glob_least_given_sing < glob_large_float
then (logitem_float(html_log_file, glob_least_given_sing), 0)
else (logitem_str(html_log_file, "NOT GIVEN"), 0),
if glob_least_ratio_sing < glob_large_float
then (logitem_float(html_log_file, glob_least_ratio_sing), 0)
else (logitem_str(html_log_file, "NONE"), 0),
if glob_least_3_sing < glob_large_float
then (logitem_float(html_log_file, glob_least_3_sing), 0)
else (logitem_str(html_log_file, "NONE"), 0),
if glob_least_6_sing < glob_large_float
then (logitem_float(html_log_file, glob_least_6_sing), 0)
else (logitem_str(html_log_file, "NONE"), 0),
logitem_integer(html_log_file, glob_iter),
logitem_time(html_log_file, glob_clock_sec),
if glob_percent_done < 100.0 then (logitem_time(html_log_file,
glob_total_exp_sec), 0) else (logitem_str(html_log_file, "Done"), 0),
log_revs(html_log_file, " 225 | "), logitem_str(html_log_file, "add_full_lin diffeq.max"),
logitem_str(html_log_file,
"add_full_lin maxima results"),
logitem_str(html_log_file, "All Tests - Maxima only - to save time"),
logend(html_log_file)), if glob_html_log then close(html_log_file)))
(%i227) main():=(alias(convfloat,convfloat),compile(all),main_prog())
(%o227) main() := (alias(convfloat, convfloat), compile(all), main_prog())
(%i228) main()
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable secs in translation.
warning: encountered undefined variable glob_sec_in_year in translation.
warning: encountered undefined variable sec_temp in translation.
warning: encountered undefined variable glob_sec_in_day in translation.
warning: encountered undefined variable glob_sec_in_hour in translation.
warning: encountered undefined variable glob_sec_in_minute in translation.
warning: encountered undefined variable years_int in translation.
warning: encountered undefined variable days_int in translation.
warning: encountered undefined variable hours_int in translation.
warning: encountered undefined variable minutes_int in translation.
warning: encountered undefined variable sec_int in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable glob_sec_in_year in translation.
warning: encountered undefined variable glob_sec_in_day in translation.
warning: encountered undefined variable glob_sec_in_hour in translation.
warning: encountered undefined variable glob_sec_in_minute in translation.
warning: encountered undefined variable iii in translation.
warning: encountered undefined variable fixnum in translation.
warning: encountered undefined variable MAX_TERMS in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable iii_ats in translation.
warning: encountered undefined variable ma_ats in translation.
warning: encountered undefined variable ret_ats in translation.
warning: encountered undefined variable lll_ats in translation.
warning: encountered undefined variable MAX_TERMS in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable iii_att in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable ma_att in translation.
warning: encountered undefined variable lll_att in translation.
warning: encountered undefined variable ret_att in translation.
warning: encountered undefined variable al_att in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable good_digits in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable glob_max_iter in translation.
warning: encountered undefined variable errflag in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable sub1 in translation.
warning: encountered undefined variable sub2 in translation.
warning: encountered undefined variable rrr in translation.
warning: encountered undefined variable ms2 in translation.
warning: encountered undefined variable sec_left in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable glob_small_float in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable ret in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable temp in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable rm0 in translation.
warning: encountered undefined variable rm1 in translation.
warning: encountered undefined variable rm2 in translation.
warning: encountered undefined variable rm3 in translation.
warning: encountered undefined variable rm4 in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable nr1 in translation.
warning: encountered undefined variable dr2 in translation.
warning: encountered undefined variable nr2 in translation.
warning: encountered undefined variable dr1 in translation.
warning: encountered undefined variable ds1 in translation.
warning: encountered undefined variable ds2 in translation.
warning: encountered undefined variable rcs in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable ord_no in translation.
warning: variable glob_six_term_ord_save (declared type convfloat) assigned type any.
warning: encountered undefined variable rad_c in translation.
warning: encountered undefined variable glob_six_term_ord_save in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable array_fact_1 in translation.
warning: encountered undefined variable MAX_TERMS in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable array_fact_2 in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable glob_log_10 in translation.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable glob_desired_digits_correct in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable array_x in translation.
warning: encountered undefined variable array_given_rad_poles in translation.
warning: encountered undefined variable rad_given in translation.
warning: variable glob_least_given_sing (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_least_given_sing in translation.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable array_given_ord_poles in translation.
warning: encountered undefined variable glob_type_given_pole in translation.
warning: encountered undefined variable array_rad_test_poles in translation.
warning: variable glob_least_ratio_sing (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_least_ratio_sing in translation.
warning: encountered undefined variable array_ord_test_poles in translation.
warning: encountered undefined variable glob_large_float in translation.
warning: variable glob_least_3_sing (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_least_3_sing in translation.
warning: variable glob_least_6_sing (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_least_6_sing in translation.
warning: encountered undefined variable glob_estimated_size_answer in translation.
warning: encountered undefined variable array_y in translation.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable ALWAYS in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable glob_check_sign in translation.
warning: encountered undefined variable glob_next_display in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable ind_var in translation.
warning: encountered undefined variable analytic_val_y in translation.
warning: encountered undefined variable term_no in translation.
warning: encountered undefined variable numeric_val in translation.
warning: encountered undefined variable abserr in translation.
warning: encountered undefined variable relerr in translation.
warning: variable glob_good_digits (declared type fixnum) assigned type any.
warning: encountered undefined variable array_1st_rel_error in translation.
warning: encountered undefined variable glob_iter in translation.
warning: encountered undefined variable array_last_rel_error in translation.
warning: encountered undefined variable INFO in translation.
warning: encountered undefined variable glob_good_digits in translation.
warning: encountered undefined variable glob_h in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable glob_small_float in translation.
warning: encountered undefined variable array_y_higher in translation.
warning: encountered undefined variable tmp in translation.
warning: variable glob_normmax (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_normmax in translation.
warning: encountered undefined variable glob_min_pole_est in translation.
warning: encountered undefined variable INFO in translation.
warning: encountered undefined variable hnew in translation.
warning: encountered undefined variable sz2 in translation.
warning: encountered undefined variable glob_look_poles in translation.
warning: encountered undefined variable glob_large_float in translation.
warning: encountered undefined variable glob_current_iter in translation.
warning: variable glob_optimal_clock_start_sec (declared type convfloat) assigned type any.
warning: variable glob_optimal_start (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_reached_optimal_h in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable clock_sec1 in translation.
warning: encountered undefined variable glob_orig_start_sec in translation.
warning: encountered undefined variable glob_clock_start_sec in translation.
warning: variable glob_clock_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_max_sec in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable glob_optimal_clock_start_sec in translation.
warning: encountered undefined variable opt_clock_sec in translation.
warning: variable glob_optimal_expect_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_optimal_expect_sec in translation.
warning: encountered undefined variable total_clock_sec in translation.
warning: variable glob_total_exp_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable percent_done in translation.
warning: variable glob_percent_done (declared type convfloat) assigned type any.
warning: encountered undefined variable INFO in translation.
warning: encountered undefined variable glob_clock_sec in translation.
warning: encountered undefined variable expect_sec in translation.
warning: encountered undefined variable glob_total_exp_sec in translation.
warning: encountered undefined variable left_sec in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable last_no in translation.
warning: encountered undefined variable found_sing in translation.
warning: variable tmp_rad (declared type convfloat) assigned type any.
warning: encountered undefined variable tmp_rad in translation.
warning: encountered undefined variable prev_tmp_rad in translation.
warning: encountered undefined variable cnt in translation.
warning: encountered undefined variable tmp_ratio in translation.
warning: encountered undefined variable glob_upper_ratio_limit in translation.
warning: encountered undefined variable glob_lower_ratio_limit in translation.
warning: variable tmp_ord (declared type convfloat) assigned type any.
warning: encountered undefined variable tmp_ord in translation.
warning: encountered undefined variable glob_min_pole_est in translation.
warning: encountered undefined variable glob_check_sign in translation.
warning: encountered undefined variable glob_ratio_of_radius in translation.
warning: encountered undefined variable term in translation.
warning: encountered undefined variable ratio in translation.
warning: encountered undefined variable h_new in translation.
warning: encountered undefined variable glob_h in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable array_const_0D3 in translation.
warning: encountered undefined variable array_tmp1 in translation.
warning: encountered undefined variable array_const_0D1 in translation.
warning: encountered undefined variable array_tmp2 in translation.
warning: encountered undefined variable array_tmp3 in translation.
warning: encountered undefined variable array_tmp3_g in translation.
warning: encountered undefined variable array_const_0D0 in translation.
warning: encountered undefined variable array_tmp4 in translation.
warning: encountered undefined variable array_tmp5 in translation.
warning: encountered undefined variable array_const_0D2 in translation.
warning: encountered undefined variable array_tmp6 in translation.
warning: encountered undefined variable array_tmp7 in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable temporary in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable array_y_set_initial in translation.
warning: encountered undefined variable kkk in translation.
warning: encountered undefined variable order_d in translation.
warning: encountered undefined variable adj3 in translation.
warning: encountered undefined variable adj2 in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable array_y_init in translation.
warning: encountered undefined variable array_norms in translation.
warning: encountered undefined variable array_type_pole in translation.
warning: encountered undefined variable array_type_real_pole in translation.
warning: encountered undefined variable array_type_complex_pole in translation.
warning: encountered undefined variable array_tmp0 in translation.
warning: encountered undefined variable array_m1 in translation.
warning: encountered undefined variable ord in translation.
warning: encountered undefined variable array_y_higher_work in translation.
warning: encountered undefined variable array_y_higher_work2 in translation.
warning: encountered undefined variable array_const_1 in translation.
warning: encountered undefined variable iiif in translation.
warning: encountered undefined variable jjjf in translation.
warning: encountered undefined variable INFO in translation.
warning: variable glob_orig_start_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable x_start in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable glob_max_minutes in translation.
warning: encountered undefined variable glob_max_hours in translation.
warning: encountered undefined variable x_end in translation.
warning: variable glob_check_sign (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_min_h in translation.
warning: encountered undefined variable glob_check_sign in translation.
warning: encountered undefined variable glob_max_h in translation.
warning: encountered undefined variable glob_display_interval in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable est_answer in translation.
warning: encountered undefined variable est_needed_step_err in translation.
warning: encountered undefined variable opt_iter in translation.
warning: encountered undefined variable found_h in translation.
warning: variable glob_next_display (declared type convfloat) assigned type any.
warning: encountered undefined variable order_diff in translation.
warning: encountered undefined variable r_order in translation.
warning: encountered undefined variable rows in translation.
warning: encountered undefined variable it in translation.
warning: encountered undefined variable estimated_step_error in translation.
warning: encountered undefined variable best_h in translation.
warning: encountered undefined variable glob_html_log in translation.
warning: variable glob_clock_start_sec (declared type convfloat) assigned type any.
warning: variable glob_clock_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable DEBUGL in translation.
warning: variable glob_optimal_clock_start_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_current_iter in translation.
warning: encountered undefined variable glob_max_iter in translation.
warning: encountered undefined variable glob_clock_sec in translation.
warning: encountered undefined variable glob_orig_start_sec in translation.
warning: encountered undefined variable glob_max_sec in translation.
warning: encountered undefined variable glob_iter in translation.
warning: encountered undefined variable current_iter in translation.
warning: encountered undefined variable glob_look_poles in translation.
warning: encountered undefined variable glob_next_display in translation.
warning: encountered undefined variable calc_term in translation.
warning: encountered undefined variable temp_sum in translation.
warning: encountered undefined variable html_log_file in translation.
warning: encountered undefined variable glob_least_given_sing in translation.
warning: encountered undefined variable glob_large_float in translation.
warning: encountered undefined variable glob_least_ratio_sing in translation.
warning: encountered undefined variable glob_least_3_sing in translation.
warning: encountered undefined variable glob_least_6_sing in translation.
warning: encountered undefined variable glob_total_exp_sec in translation.
warning: encountered undefined variable glob_percent_done in translation.
WARNING: in $ADJUST_FOR_POLE : $GLOB_CURR_ITER_WHEN_OPT is neither declared
nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $ADJUST_FOR_POLE : $GLOB_OPTIMAL_START is neither declared nor
bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : |$Digits| is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $MAX_TERMS is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : |$debugmassive| is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_CURR_ITER_WHEN_OPT is neither declared nor
bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_DISPLAY_FLAG is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_NO_EQS is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_UNCHANGED_H_CNT is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_WARNED is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_WARNED2 is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_SMALLISH_FLOAT is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_ALMOST_1 is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_SUBITER_METHOD is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_LAST_GOOD_H is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_NEG_H is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_NEG_H is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $MIN_VALUE is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
Warning: modedcclare has a function or macro call which has not been translated properly.
The function was totaly undefined. Maybe you want to quote it."##############ECHO OF PROBLEM#################"
"##############temp/add_full_linpostode.ode#################"
"diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) + ( 0.1 * x + 0.2 ) ; "
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits:32,"
"max_terms:30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start:-5.0,"
"x_end:5.0,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_display_interval:0.1,"
"glob_look_poles:true,"
"glob_max_iter:1000000,"
"glob_max_minutes:10,"
"/* END SECOND INPUT BLOCK */"
"/* BEGIN OVERRIDE BLOCK */"
"glob_desired_digits_correct:10,"
"glob_display_interval:0.01,"
"glob_look_poles:true,"
"glob_max_iter:1000000000,"
"glob_max_minutes:10.0,"
"glob_subiter_method:3,"
"/* END OVERRIDE BLOCK */"
"!"
"/* BEGIN USER DEF BLOCK */"
"exact_soln_y (x) := (block("
" (0.05 * x * x + 0.2 * x - cos(0.3 * x + 0.1) / 0.3) "
"));"
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Optimize"
min_size = 0.0 ""
min_size = 1. ""
glob_desired_digits_correct = 10. ""
estimated_h = 1.000000E-6 ""
estimated_answer = 1. ""
desired_abs_gbl_error = 1.0000000000E-10 ""
range = 10. ""
estimated_steps = 10000000. ""
step_error = 9.999999999999999000000000000000000E-18 ""
est_needed_step_err = 9.999999999999999000000000000000000E-18 ""
opt_iter = 1
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 3.570897047889732000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-197 ""
estimated_step_error = 3.570897047889732000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-197 ""
best_h = 2.000000E-6 ""
opt_iter = 2
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.396388520637118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-189 ""
estimated_step_error = 2.396388520637118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-189 ""
best_h = 4.000000E-6 ""
opt_iter = 3
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.60818921682700680000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-181 ""
estimated_step_error = 1.60818921682700680000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-181 ""
best_h = 8.000000E-6 ""
opt_iter = 4
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.079237653434050900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-173 ""
estimated_step_error = 1.079237653434050900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-173 ""
best_h = 1.600000E-5 ""
opt_iter = 5
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 7.2426431571087170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-166 ""
estimated_step_error = 7.2426431571087170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-166 ""
best_h = 3.200000E-5 ""
opt_iter = 6
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 4.86045805122853200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-158 ""
estimated_step_error = 4.86045805122853200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-158 ""
best_h = 6.400000E-5 ""
opt_iter = 7
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 3.261801545421410500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-150 ""
estimated_step_error = 3.261801545421410500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-150 ""
best_h = 1.280000E-4 ""
opt_iter = 8
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.18896247552730850000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-142 ""
estimated_step_error = 2.18896247552730850000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-142 ""
best_h = 2.560000E-4 ""
opt_iter = 9
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.468993907233615600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-134 ""
estimated_step_error = 1.468993907233615600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-134 ""
best_h = 5.120000E-4 ""
opt_iter = 10
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 9.858332522956380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-127 ""
estimated_step_error = 9.858332522956380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-127 ""
best_h = 1.024000E-3 ""
opt_iter = 11
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 6.61592406996459500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-119 ""
estimated_step_error = 6.61592406996459500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-119 ""
best_h = 2.048000E-3 ""
opt_iter = 12
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 4.440017923783401000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-111 ""
estimated_step_error = 4.440017923783401000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-111 ""
best_h = 4.096000E-3 ""
opt_iter = 13
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.97984213434346060000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-103 ""
estimated_step_error = 2.97984213434346060000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-103 ""
best_h = 8.192000E-3 ""
opt_iter = 14
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.000002001141685800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-95 ""
estimated_step_error = 2.000002001141685800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-95 ""
best_h = 1.638400E-2 ""
opt_iter = 15
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.3425326796364634000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-87 ""
estimated_step_error = 1.3425326796364634000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-87 ""
best_h = 3.276800E-2 ""
opt_iter = 16
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 9.01433626172279800000000000000000000000000000000000000000000000000000000000000000000000000000000E-80 ""
estimated_step_error = 9.01433626172279800000000000000000000000000000000000000000000000000000000000000000000000000000000E-80 ""
best_h = 6.553600E-2 ""
opt_iter = 17
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 6.055796344990871000000000000000000000000000000000000000000000000000000000000000000000000E-72 ""
estimated_step_error = 6.055796344990871000000000000000000000000000000000000000000000000000000000000000000000000E-72 ""
best_h = 0.131072 ""
opt_iter = 18
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 4.072535331040570000000000000000000000000000000000000000000000000000000000000000E-64 ""
estimated_step_error = 4.072535331040570000000000000000000000000000000000000000000000000000000000000000E-64 ""
best_h = 0.1 ""
"START of Soultion"
" "
"TOP MAIN SOLVE Loop"
x[1] = -5. " "
y[1] (analytic) = -0.3165571430008035 " "
y[1] (numeric) = -0.3165571430008035 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.558313583593175 " "
Order of pole (three term test) = 22.971111170334325 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.99 " "
y[1] (analytic) = -0.329404076013717 " "
y[1] (numeric) = -0.32940407601371746 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.3481594254212260000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5677257008522666 " "
Order of pole (three term test) = 22.970097731938015 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.98 " "
y[1] (analytic) = -0.3422358213488377 " "
y[1] (numeric) = -0.342235821348838 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 9.73208783565806400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.577117380047443 " "
Order of pole (three term test) = 22.969067370074114 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.970000000000000 " "
y[1] (analytic) = -0.355052290385523 " "
y[1] (numeric) = -0.35505229038552366 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.87615692903091070000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5864882830792646 " "
Order of pole (three term test) = 22.968020121835554 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.960000000000000 " "
y[1] (analytic) = -0.3678533945506185 " "
y[1] (numeric) = -0.3678533945506195 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 2.71630148576798240000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5958380725962371 " "
Order of pole (three term test) = 22.96695602492315 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.950000000000001 " "
y[1] (analytic) = -0.3806390453192531 " "
y[1] (numeric) = -0.3806390453192544 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.5000813656223210000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6051664120069463 " "
Order of pole (three term test) = 22.965875117644288 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.940000000000001 " "
y[1] (analytic) = -0.39340915421563605 " "
y[1] (numeric) = -0.3934091542156379 " "
absolute error = 1.8318679906315083000000000000000E-15 " "
relative error = 4.656393912042580000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.614472965492181 " "
Order of pole (three term test) = 22.964777438911497 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.9300000000000015 " "
y[1] (analytic) = -0.4061636328138546 " "
y[1] (numeric) = -0.40616363281385615 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 3.82681291209437950000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.623757398017022 " "
Order of pole (three term test) = 22.963663028241104 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.920000000000002 " "
y[1] (analytic) = -0.41890239273866614 " "
y[1] (numeric) = -0.4189023927386681 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 4.6380501204396396000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6330193753428989 " "
Order of pole (three term test) = 22.96253192575177 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.910000000000002 " "
y[1] (analytic) = -0.4316253456662983 " "
y[1] (numeric) = -0.4316253456663006 " "
absolute error = 2.3314683517128287000000000000000E-15 " "
relative error = 5.4016020493739790000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6422585640396297 " "
Order of pole (three term test) = 22.961384172163065 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.900000000000002 " "
y[1] (analytic) = -0.44433240332524093 " "
y[1] (numeric) = -0.4443324033252436 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 5.9967160602284460000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6514746314974188 " "
Order of pole (three term test) = 22.960219808793987 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.890000000000002 " "
y[1] (analytic) = -0.4570234774970411 " "
y[1] (numeric) = -0.4570234774970443 " "
absolute error = 3.219646771412954000000000000000E-15 " "
relative error = 7.044817016941539000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6606672459388339 " "
Order of pole (three term test) = 22.95903887756151 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.880000000000003 " "
y[1] (analytic) = -0.46969848001709835 " "
y[1] (numeric) = -0.46969848001710124 " "
absolute error = 2.886579864025407000000000000000E-15 " "
relative error = 6.145601884682120000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6698360764307467 " "
Order of pole (three term test) = 22.957841420978998 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.870000000000003 " "
y[1] (analytic) = -0.4823573227754546 " "
y[1] (numeric) = -0.48235732277545784 " "
absolute error = 3.219646771412954000000000000000E-15 " "
relative error = 6.6748168202097620000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6789807928962499 " "
Order of pole (three term test) = 22.95662748215478 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.860000000000003 " "
y[1] (analytic) = -0.49499991771759166 " "
y[1] (numeric) = -0.49499991771759533 " "
absolute error = 3.6637359812630166000000000000000E-15 " "
relative error = 7.4014880611621810000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6881010661265385 " "
Order of pole (three term test) = 22.95539710479053 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.850000000000003 " "
y[1] (analytic) = -0.507626176845221 " "
y[1] (numeric) = -0.5076261768452253 " "
absolute error = 4.218847493575595000000000000000E-15 " "
relative error = 8.3109336870583660000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6971965677927622 " "
Order of pole (three term test) = 22.954150333179683 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.840000000000003 " "
y[1] (analytic) = -0.5202360122170769 " "
y[1] (numeric) = -0.5202360122170814 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 8.5363027437777450000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7062669704578421 " "
Order of pole (three term test) = 22.952887212205898 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.830000000000004 " "
y[1] (analytic) = -0.5328293359497072 " "
y[1] (numeric) = -0.5328293359497113 " "
absolute error = 4.107825191113079000000000000000E-15 " "
relative error = 7.7094576329798960000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7153119475882626 " "
Order of pole (three term test) = 22.95160778734138 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.820000000000004 " "
y[1] (analytic) = -0.5454060602182627 " "
y[1] (numeric) = -0.5454060602182672 " "
absolute error = 4.551914400963142000000000000000E-15 " "
relative error = 8.3459182671009180000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.724331173565823 " "
Order of pole (three term test) = 22.95031210464529 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.810000000000004 " "
y[1] (analytic) = -0.5579660972572915 " "
y[1] (numeric) = -0.5579660972572966 " "
absolute error = 5.10702591327572000000000000000E-15 " "
relative error = 9.1529322988969130000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.733324323699363 " "
Order of pole (three term test) = 22.949000210762062 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.800000000000004 " "
y[1] (analytic) = -0.5705093593615265 " "
y[1] (numeric) = -0.5705093593615319 " "
absolute error = 5.440092820663267000000000000000E-15 " "
relative error = 9.5355014451497020000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7422910742364487 " "
Order of pole (three term test) = 22.94767215291974 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.7900000000000045 " "
y[1] (analytic) = -0.583035758886674 " "
y[1] (numeric) = -0.5830357588866799 " "
absolute error = 5.88418203051333000000000000000E-15 " "
relative error = 1.0092317565134203000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7512311023750289 " "
Order of pole (three term test) = 22.946327978928277 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.780000000000005 " "
y[1] (analytic) = -0.5955452082502052 " "
y[1] (numeric) = -0.5955452082502105 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 8.9482216368733850000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7601440862750573 " "
Order of pole (three term test) = 22.94496773717776 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.770000000000005 " "
y[1] (analytic) = -0.6080376199321392 " "
y[1] (numeric) = -0.6080376199321451 " "
absolute error = 5.88418203051333000000000000000E-15 " "
relative error = 9.6773321873900510000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7690297050700745 " "
Order of pole (three term test) = 22.943591476636765 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.760000000000005 " "
y[1] (analytic) = -0.6205129064758379 " "
y[1] (numeric) = -0.6205129064758442 " "
absolute error = 6.328271240363392000000000000000E-15 " "
relative error = 1.019845223897822000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7778876388787641 " "
Order of pole (three term test) = 22.942199246850517 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.750000000000005 " "
y[1] (analytic) = -0.6329709804887879 " "
y[1] (numeric) = -0.6329709804887944 " "
absolute error = 6.5503158452884240000000000000000E-15 " "
relative error = 1.0348524730517962000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7867175688164668 " "
Order of pole (three term test) = 22.940791097939147 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.7400000000000055 " "
y[1] (analytic) = -0.6454117546433881 " "
y[1] (numeric) = -0.6454117546433952 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 1.100913843988942000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7955191770066566 " "
Order of pole (three term test) = 22.93936708059585 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.730000000000006 " "
y[1] (analytic) = -0.6578351416777377 " "
y[1] (numeric) = -0.6578351416777445 " "
absolute error = 6.772360450213455000000000000000E-15 " "
relative error = 1.0294920446088177000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8042921465923912 " "
Order of pole (three term test) = 22.937927246085106 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.720000000000006 " "
y[1] (analytic) = -0.6702410543964172 " "
y[1] (numeric) = -0.6702410543964245 " "
absolute error = 7.216449660063518000000000000000E-15 " "
relative error = 1.076694662722840900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8130361617477107 " "
Order of pole (three term test) = 22.936471646240793 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.710000000000006 " "
y[1] (analytic) = -0.6826294056712784 " "
y[1] (numeric) = -0.6826294056712859 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 1.1059465801985316000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8217509076890156 " "
Order of pole (three term test) = 22.935000333464362 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.700000000000006 " "
y[1] (analytic) = -0.6950001084422248 " "
y[1] (numeric) = -0.6950001084422327 " "
absolute error = 7.882583474838611000000000000000E-15 " "
relative error = 1.1341844956695987000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8304360706863924 " "
Order of pole (three term test) = 22.933513360722902 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.690000000000007 " "
y[1] (analytic) = -0.7073530757179965 " "
y[1] (numeric) = -0.7073530757180051 " "
absolute error = 8.548717289613705000000000000000E-15 " "
relative error = 1.2085502393463628000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.839091338074912 " "
Order of pole (three term test) = 22.932010781547273 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.680000000000007 " "
y[1] (analytic) = -0.7196882205769547 " "
y[1] (numeric) = -0.7196882205769629 " "
absolute error = 8.215650382226158000000000000000E-15 " "
relative error = 1.141556878010298900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8477163982658826 " "
Order of pole (three term test) = 22.930492650030175 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.670000000000007 " "
y[1] (analytic) = -0.7320054561678588 " "
y[1] (numeric) = -0.7320054561678675 " "
absolute error = 8.659739592076221000000000000000E-15 " "
relative error = 1.1830157164963023000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8563109407580686 " "
Order of pole (three term test) = 22.928959020824166 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.660000000000007 " "
y[1] (analytic) = -0.7443046957106544 " "
y[1] (numeric) = -0.7443046957106636 " "
absolute error = 9.2148511043887990000000000000E-15 " "
relative error = 1.2380482291046886000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8648746561488686 " "
Order of pole (three term test) = 22.927409949139726 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.6500000000000075 " "
y[1] (analytic) = -0.7565858524972507 " "
y[1] (numeric) = -0.7565858524972603 " "
absolute error = 9.547918011776346000000000000000E-15 " "
relative error = 1.2619741672754900000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8734072361454541 " "
Order of pole (three term test) = 22.925845490743278 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.640000000000008 " "
y[1] (analytic) = -0.7688488398923017 " "
y[1] (numeric) = -0.7688488398923116 " "
absolute error = 9.880984919163893000000000000000E-15 " "
relative error = 1.2851661349385654000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.881908373575866 " "
Order of pole (three term test) = 22.924265701955168 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.630000000000008 " "
y[1] (analytic) = -0.7810935713339863 " "
y[1] (numeric) = -0.7810935713339958 " "
absolute error = 9.547918011776346000000000000000E-15 " "
relative error = 1.2223782607082516000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8903777624000765 " "
Order of pole (three term test) = 22.922670639647603 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.620000000000008 " "
y[1] (analytic) = -0.7933199603347849 " "
y[1] (numeric) = -0.7933199603347949 " "
absolute error = 9.992007221626409000000000000000E-15 " "
relative error = 1.259517939950702000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8988150977209985 " "
Order of pole (three term test) = 22.92106036124265 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.610000000000008 " "
y[1] (analytic) = -0.8055279204822623 " "
y[1] (numeric) = -0.8055279204822726 " "
absolute error = 1.032507412901395600000000000000E-14 " "
relative error = 1.2817773123037657000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9072200757954771 " "
Order of pole (three term test) = 22.919434924710178 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.6000000000000085 " "
y[1] (analytic) = -0.8177173654398416 " "
y[1] (numeric) = -0.8177173654398524 " "
absolute error = 1.076916333886401800000000000000E-14 " "
relative error = 1.3169786767425928000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9155923940452044 " "
Order of pole (three term test) = 22.917794388565703 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.590000000000009 " "
y[1] (analytic) = -0.8298882089475831 " "
y[1] (numeric) = -0.8298882089475943 " "
absolute error = 1.121325254871408100000000000000E-14 " "
relative error = 1.3511762702272986000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9239317510676309 " "
Order of pole (three term test) = 22.916138811868368 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.580000000000009 " "
y[1] (analytic) = -0.8420403648229605 " "
y[1] (numeric) = -0.8420403648229714 " "
absolute error = 1.088018564132653400000000000000E-14 " "
relative error = 1.2921216245511105000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9322378466468033 " "
Order of pole (three term test) = 22.91446825421875 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.570000000000010 " "
y[1] (analytic) = -0.8541737469616342 " "
y[1] (numeric) = -0.8541737469616454 " "
absolute error = 1.121325254871408100000000000000E-14 " "
relative error = 1.3127601484593193000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9405103817641788 " "
Order of pole (three term test) = 22.91278277575675 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.560000000000010 " "
y[1] (analytic) = -0.8662882693382299 " "
y[1] (numeric) = -0.8662882693382415 " "
absolute error = 1.165734175856414400000000000000E-14 " "
relative error = 1.3456654292998052000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9487490586093857 " "
Order of pole (three term test) = 22.911082437159386 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.55000000000001 " "
y[1] (analytic) = -0.878383846007111 " "
y[1] (numeric) = -0.8783838460071229 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 1.3650534126346650000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9569535805909463 " "
Order of pole (three term test) = 22.90936729963869 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.54000000000001 " "
y[1] (analytic) = -0.8904603911031516 " "
y[1] (numeric) = -0.890460391103164 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 1.3964122379881724000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9651236523469571 " "
Order of pole (three term test) = 22.907637424939416 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.53000000000001 " "
y[1] (analytic) = -0.902517818842511 " "
y[1] (numeric) = -0.9025178188425231 " "
absolute error = 1.210143096841420600000000000000E-14 " "
relative error = 1.340852304050287000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9732589797557174 " "
Order of pole (three term test) = 22.905892875336875 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.52000000000001 " "
y[1] (analytic) = -0.9145560435234026 " "
y[1] (numeric) = -0.9145560435234149 " "
absolute error = 1.232347557333923800000000000000E-14 " "
relative error = 1.3474817274031708000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9813592699463177 " "
Order of pole (three term test) = 22.904133713634657 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.5100000000000104 " "
y[1] (analytic) = -0.9265749795268685 " "
y[1] (numeric) = -0.9265749795268815 " "
absolute error = 1.298960938811433200000000000000E-14 " "
relative error = 1.4018951164370033000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9894242313091863 " "
Order of pole (three term test) = 22.90236000316239 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.500000000000010 " "
y[1] (analytic) = -0.9385745413175497 " "
y[1] (numeric) = -0.938574541317563 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 1.4194585202364220000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9974535735065859 " "
Order of pole (three term test) = 22.900571807773463 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.490000000000010 " "
y[1] (analytic) = -0.9505546434444537 " "
y[1] (numeric) = -0.9505546434444675 " "
absolute error = 1.376676550535194000000000000000E-14 " "
relative error = 1.4482876497732255000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0054470074830637 " "
Order of pole (three term test) = 22.898769191842728 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.480000000000011 " "
y[1] (analytic) = -0.9625152005417262 " "
y[1] (numeric) = -0.9625152005417397 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 1.3956869034799235000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0134042454758616 " "
Order of pole (three term test) = 22.896952220264144 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.470000000000011 " "
y[1] (analytic) = -0.974456127329416 " "
y[1] (numeric) = -0.9744561273294298 " "
absolute error = 1.376676550535194000000000000000E-14 " "
relative error = 1.4127640146387085000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.021325001025268 " "
Order of pole (three term test) = 22.895120958448505 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.4600000000000115 " "
y[1] (analytic) = -0.9863773386142461 " "
y[1] (numeric) = -0.9863773386142605 " "
absolute error = 1.43218770176645200000000000000E-14 " "
relative error = 1.4519673614749923000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.029208988984941 " "
Order of pole (three term test) = 22.893275472321033 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.450000000000012 " "
y[1] (analytic) = -0.9982787492903797 " "
y[1] (numeric) = -0.9982787492903942 " "
absolute error = 1.443289932012703500000000000000E-14 " "
relative error = 1.4457784792460596000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0370559255321663 " "
Order of pole (three term test) = 22.891415828319037 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.440000000000012 " "
y[1] (analytic) = -1.0101602743401836 " "
y[1] (numeric) = -1.0101602743401985 " "
absolute error = 1.487698852997709800000000000000E-14 " "
relative error = 1.4727354567268494000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0448655281780725 " "
Order of pole (three term test) = 22.889542093389483 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.430000000000012 " "
y[1] (analytic) = -1.0220218288349971 " "
y[1] (numeric) = -1.0220218288350116 " "
absolute error = 1.443289932012703500000000000000E-14 " "
relative error = 1.4121909056070844000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0526375157778112 " "
Order of pole (three term test) = 22.887654334986653 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.420000000000012 " "
y[1] (analytic) = -1.0338633279358918 " "
y[1] (numeric) = -1.0338633279359069 " "
absolute error = 1.50990331349021300000000000000E-14 " "
relative error = 1.4604476942854092000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0603716085406663 " "
Order of pole (three term test) = 22.885752621069614 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.410000000000013 " "
y[1] (analytic) = -1.0456846868944405 " "
y[1] (numeric) = -1.0456846868944558 " "
absolute error = 1.53210777398271600000000000000E-14 " "
relative error = 1.4651718564731922000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0680675280401324 " "
Order of pole (three term test) = 22.88383702009989 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.400000000000013 " "
y[1] (analytic) = -1.0574858210534752 " "
y[1] (numeric) = -1.0574858210534912 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 1.5118133251825236000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0757249972239413 " "
Order of pole (three term test) = 22.88190760103889 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.390000000000013 " "
y[1] (analytic) = -1.0692666458478528 " "
y[1] (numeric) = -1.0692666458478692 " "
absolute error = 1.643130076445231700000000000000E-14 " "
relative error = 1.5366887977155090000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0833437404240291 " "
Order of pole (three term test) = 22.879964433345496 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.380000000000013 " "
y[1] (analytic) = -1.0810270768052137 " "
y[1] (numeric) = -1.08102707680523 " "
absolute error = 1.620925615952728500000000000000E-14 " "
relative error = 1.4994310972700983000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0909234833664614 " "
Order of pole (three term test) = 22.878007586973542 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.370000000000013 " "
y[1] (analytic) = -1.0927670295467418 " "
y[1] (numeric) = -1.092767029546758 " "
absolute error = 1.620925615952728500000000000000E-14 " "
relative error = 1.4833222197644969000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.098463953181313 " "
Order of pole (three term test) = 22.876037132369287 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.360000000000014 " "
y[1] (analytic) = -1.1044864197879254 " "
y[1] (numeric) = -1.104486419787942 " "
absolute error = 1.665334536937734800000000000000E-14 " "
relative error = 1.507790867412837000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1059648784124836 " "
Order of pole (three term test) = 22.874053140468867 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.350000000000014 " "
y[1] (analytic) = -1.116185163339316 " "
y[1] (numeric) = -1.1161851633393332 " "
absolute error = 1.70974345792274100000000000000E-14 " "
relative error = 1.5317740407941485000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1134259890274745 " "
Order of pole (three term test) = 22.872055682695795 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.340000000000014 " "
y[1] (analytic) = -1.1278631761072848 " "
y[1] (numeric) = -1.1278631761073021 " "
absolute error = 1.731947918415244200000000000000E-14 " "
relative error = 1.5356010862885885000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1208470164271114 " "
Order of pole (three term test) = 22.870044830958328 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.330000000000014 " "
y[1] (analytic) = -1.1395203740947801 " "
y[1] (numeric) = -1.1395203740947972 " "
absolute error = 1.70974345792274100000000000000E-14 " "
relative error = 1.5004062207145166000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1282276934552085 " "
Order of pole (three term test) = 22.868020657646912 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.3200000000000145 " "
y[1] (analytic) = -1.1511566734020822 " "
y[1] (numeric) = -1.1511566734020995 " "
absolute error = 1.731947918415244200000000000000E-14 " "
relative error = 1.5045284090624390000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1355677544081897 " "
Order of pole (three term test) = 22.865983235631568 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.310000000000015 " "
y[1] (analytic) = -1.1627719902275602 " "
y[1] (numeric) = -1.1627719902275782 " "
absolute error = 1.798561299892753600000000000000E-14 " "
relative error = 1.5467876032520927000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.142866935044652 " "
Order of pole (three term test) = 22.863932638259264 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.300000000000015 " "
y[1] (analytic) = -1.1743662408684261 " "
y[1] (numeric) = -1.1743662408684443 " "
absolute error = 1.820765760385256700000000000000E-14 " "
relative error = 1.5504241326273380000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1501249725948826 " "
Order of pole (three term test) = 22.861868939351293 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.290000000000015 " "
y[1] (analytic) = -1.1859393417214865 " "
y[1] (numeric) = -1.185939341721505 " "
absolute error = 1.8429702208777599000000000000E-14 " "
relative error = 1.5540172722514964000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1573416057703145 " "
Order of pole (three term test) = 22.859792213200578 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.280000000000015 " "
y[1] (analytic) = -1.197491209283897 " "
y[1] (numeric) = -1.1974912092839152 " "
absolute error = 1.820765760385256700000000000000E-14 " "
relative error = 1.520483612964541000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.164516574772931 " "
Order of pole (three term test) = 22.85770253456905 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.270000000000016 " "
y[1] (analytic) = -1.2090217601539108 " "
y[1] (numeric) = -1.2090217601539293 " "
absolute error = 1.8429702208777599000000000000E-14 " "
relative error = 1.5243482637096178000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1716496213046221 " "
Order of pole (three term test) = 22.8555999786849 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.260000000000016 " "
y[1] (analytic) = -1.2205309110316331 " "
y[1] (numeric) = -1.220530911031652 " "
absolute error = 1.88737914186276600000000000000E-14 " "
relative error = 1.5463591497797388000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1787404885764858 " "
Order of pole (three term test) = 22.853484621239943 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.250000000000016 " "
y[1] (analytic) = -1.2320185787197686 " "
y[1] (numeric) = -1.232018578719788 " "
absolute error = 1.931788062847772400000000000000E-14 " "
relative error = 1.5679861458381233000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1857889213180632 " "
Order of pole (three term test) = 22.851356538386785 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.240000000000016 " "
y[1] (analytic) = -1.2434846801243706 " "
y[1] (numeric) = -1.24348468012439 " "
absolute error = 1.931788062847772400000000000000E-14 " "
relative error = 1.5535278349022835000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1927946657865378 " "
Order of pole (three term test) = 22.849215806736186 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.230000000000016 " "
y[1] (analytic) = -1.2549291322555889 " "
y[1] (numeric) = -1.254929132255608 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 1.5216664855990833000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1997574697758673 " "
Order of pole (three term test) = 22.847062503354262 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.220000000000017 " "
y[1] (analytic) = -1.2663518522284152 " "
y[1] (numeric) = -1.2663518522284347 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 1.5430091722942643000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2066770826258588 " "
Order of pole (three term test) = 22.844896705759705 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.210000000000017 " "
y[1] (analytic) = -1.2777527572634328 " "
y[1] (numeric) = -1.2777527572634526 " "
absolute error = 1.976196983832778600000000000000E-14 " "
relative error = 1.546619228641076000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2135532552311947 " "
Order of pole (three term test) = 22.842718491920998 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.200000000000017 " "
y[1] (analytic) = -1.289131764687558 " "
y[1] (numeric) = -1.2891317646875784 " "
absolute error = 2.04281036531028800000000000000E-14 " "
relative error = 1.5846404698633710000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2203857400504075 " "
Order of pole (three term test) = 22.84052794025358 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.190000000000017 " "
y[1] (analytic) = -1.3004887919347863 " "
y[1] (numeric) = -1.3004887919348072 " "
absolute error = 2.087219286295294300000000000000E-14 " "
relative error = 1.604949845965269200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.227174291114779 " "
Order of pole (three term test) = 22.8383251296171 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.1800000000000175 " "
y[1] (analytic) = -1.311823756546935 " "
y[1] (numeric) = -1.3118237565469555 " "
absolute error = 2.04281036531028800000000000000E-14 " "
relative error = 1.5572292810792680000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2339186640372062 " "
Order of pole (three term test) = 22.836110139312485 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.170000000000018 " "
y[1] (analytic) = -1.3231365761743827 " "
y[1] (numeric) = -1.3231365761744036 " "
absolute error = 2.087219286295294300000000000000E-14 " "
relative error = 1.577478337368711000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2406186160209902 " "
Order of pole (three term test) = 22.833883049079155 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.160000000000018 " "
y[1] (analytic) = -1.3344271685768154 " "
y[1] (numeric) = -1.3344271685768365 " "
absolute error = 2.109423746787797400000000000000E-14 " "
relative error = 1.5807709828311772000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2472739058685847 " "
Order of pole (three term test) = 22.83164393909212 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.150000000000018 " "
y[1] (analytic) = -1.3456954516239628 " "
y[1] (numeric) = -1.3456954516239843 " "
absolute error = 2.153832667772803700000000000000E-14 " "
relative error = 1.6005349985939200000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.253884293990273 " "
Order of pole (three term test) = 22.82939288995909 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.140000000000018 " "
y[1] (analytic) = -1.3569413432963393 " "
y[1] (numeric) = -1.356941343296361 " "
absolute error = 2.176037128265306800000000000000E-14 " "
relative error = 1.603633892515343000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.260449542412797 " "
Order of pole (three term test) = 22.827129982717608 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.1300000000000185 " "
y[1] (analytic) = -1.3681647616859816 " "
y[1] (numeric) = -1.368164761686003 " "
absolute error = 2.153832667772803700000000000000E-14 " "
relative error = 1.5742494822908962000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2669694147879227 " "
Order of pole (three term test) = 22.824855298832073 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.120000000000019 " "
y[1] (analytic) = -1.3793656249971846 " "
y[1] (numeric) = -1.3793656249972062 " "
absolute error = 2.153832667772803700000000000000E-14 " "
relative error = 1.5614661035047903000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2734436764009485 " "
Order of pole (three term test) = 22.822568920190868 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.110000000000019 " "
y[1] (analytic) = -1.3905438515472397 " "
y[1] (numeric) = -1.390543851547262 " "
absolute error = 2.22044604925031300000000000000E-14 " "
relative error = 1.5968184295516116000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2798720941791542 " "
Order of pole (three term test) = 22.820270929103362 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.100000000000020 " "
y[1] (analytic) = -1.40169935976717 " "
y[1] (numeric) = -1.4016993597671925 " "
absolute error = 2.242650509742816200000000000000E-14 " "
relative error = 1.5999511550860182000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.286254436700198 " "
Order of pole (three term test) = 22.81796140829701 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.090000000000020 " "
y[1] (analytic) = -1.4128320682024622 " "
y[1] (numeric) = -1.412832068202485 " "
absolute error = 2.287059430727822500000000000000E-14 " "
relative error = 1.6187765568186985000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2925904742004335 " "
Order of pole (three term test) = 22.815640440914287 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.08000000000002 " "
y[1] (analytic) = -1.423941895513802 " "
y[1] (numeric) = -1.4239418955138246 " "
absolute error = 2.264854970235319300000000000000E-14 " "
relative error = 1.5905529413600758000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2988799785831997 " "
Order of pole (three term test) = 22.813308110509784 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.07000000000002 " "
y[1] (analytic) = -1.4350287604778034 " "
y[1] (numeric) = -1.4350287604778262 " "
absolute error = 2.287059430727822500000000000000E-14 " "
relative error = 1.5937376962161576000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3051227234270149 " "
Order of pole (three term test) = 22.810964501047142 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.06000000000002 " "
y[1] (analytic) = -1.446092581987743 " "
y[1] (numeric) = -1.4460925819877661 " "
absolute error = 2.309263891220325600000000000000E-14 " "
relative error = 1.5968990644057524000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3113184839937397 " "
Order of pole (three term test) = 22.808609696896056 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.05000000000002 " "
y[1] (analytic) = -1.457133279054288 " "
y[1] (numeric) = -1.4571332790543117 " "
absolute error = 2.37587727269783500000000000000E-14 " "
relative error = 1.6305147283711980000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3174670372366624 " "
Order of pole (three term test) = 22.806243782829196 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.0400000000000205 " "
y[1] (analytic) = -1.4681507708062256 " "
y[1] (numeric) = -1.4681507708062496 " "
absolute error = 2.39808173319033800000000000000E-14 " "
relative error = 1.6334029044397444000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3235681618085313 " "
Order of pole (three term test) = 22.803866844019236 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.030000000000020 " "
y[1] (analytic) = -1.4791449764911913 " "
y[1] (numeric) = -1.4791449764912148 " "
absolute error = 2.35367281220533200000000000000E-14 " "
relative error = 1.5912387559120028000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3296216380695207 " "
Order of pole (three term test) = 22.801478966035713 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.020000000000021 " "
y[1] (analytic) = -1.4901158154763925 " "
y[1] (numeric) = -1.4901158154764167 " "
absolute error = 2.420286193682841300000000000000E-14 " "
relative error = 1.6242269013895888000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3356272480951383 " "
Order of pole (three term test) = 22.79908023484196 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.010000000000021 " "
y[1] (analytic) = -1.5010632072493404 " "
y[1] (numeric) = -1.5010632072493646 " "
absolute error = 2.420286193682841300000000000000E-14 " "
relative error = 1.612381265488449000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3415847756840724 " "
Order of pole (three term test) = 22.79667073679206 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.000000000000021 " "
y[1] (analytic) = -1.5119870714185684 " "
y[1] (numeric) = -1.511987071418593 " "
absolute error = 2.464695114667847500000000000000E-14 " "
relative error = 1.630103299994116000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3474940063659715 " "
Order of pole (three term test) = 22.794250558627677 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9900000000000215 " "
y[1] (analytic) = -1.5228873277143595 " "
y[1] (numeric) = -1.5228873277143846 " "
absolute error = 2.509104035652854000000000000000E-14 " "
relative error = 1.6475966343607756000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.353354727409171 " "
Order of pole (three term test) = 22.791819787474964 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9800000000000217 " "
y[1] (analytic) = -1.5337638959894682 " "
y[1] (numeric) = -1.5337638959894928 " "
absolute error = 2.464695114667847500000000000000E-14 " "
relative error = 1.606958620627729000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3591667278283468 " "
Order of pole (three term test) = 22.789378510841413 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.970000000000022 " "
y[1] (analytic) = -1.544616696219838 " "
y[1] (numeric) = -1.544616696219863 " "
absolute error = 2.509104035652854000000000000000E-14 " "
relative error = 1.6244185640317232000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3649297983921107 " "
Order of pole (three term test) = 22.78692681661273 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.960000000000022 " "
y[1] (analytic) = -1.5554456485053278 " "
y[1] (numeric) = -1.5554456485053534 " "
absolute error = 2.5535129566378600000000000000E-14 " "
relative error = 1.6416600342748094000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3706437316305438 " "
Order of pole (three term test) = 22.784464793049636 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9500000000000224 " "
y[1] (analytic) = -1.566250673070427 " "
y[1] (numeric) = -1.5662506730704528 " "
absolute error = 2.575717417130363000000000000000E-14 " "
relative error = 1.6445116106995886000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3763083218426684 " "
Order of pole (three term test) = 22.781992528784713 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9400000000000226 " "
y[1] (analytic) = -1.5770316902649744 " "
y[1] (numeric) = -1.5770316902650003 " "
absolute error = 2.597921877622866300000000000000E-14 " "
relative error = 1.6473491900383821000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3819233651038463 " "
Order of pole (three term test) = 22.779510112819203 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.930000000000023 " "
y[1] (analytic) = -1.5877886205648748 " "
y[1] (numeric) = -1.5877886205649006 " "
absolute error = 2.575717417130363000000000000000E-14 " "
relative error = 1.6222042303175224000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3874886592731297 " "
Order of pole (three term test) = 22.77701763451983 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.920000000000023 " "
y[1] (analytic) = -1.5985213845728143 " "
y[1] (numeric) = -1.5985213845728403 " "
absolute error = 2.597921877622866300000000000000E-14 " "
relative error = 1.6252030799807723000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3930040040005265 " "
Order of pole (three term test) = 22.774515183615524 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9100000000000232 " "
y[1] (analytic) = -1.6092299030189767 " "
y[1] (numeric) = -1.6092299030190031 " "
absolute error = 2.642330798607872600000000000000E-14 " "
relative error = 1.6419846497077634000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3984692007342243 " "
Order of pole (three term test) = 22.77200285019425 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9000000000000234 " "
y[1] (analytic) = -1.6199140967617556 " "
y[1] (numeric) = -1.6199140967617824 " "
absolute error = 2.686739719592879000000000000000E-14 " "
relative error = 1.6585692568289462000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4038840527277303 " "
Order of pole (three term test) = 22.769480724699765 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8900000000000237 " "
y[1] (analytic) = -1.6305738867884667 " "
y[1] (numeric) = -1.6305738867884936 " "
absolute error = 2.686739719592879000000000000000E-14 " "
relative error = 1.647726448560149000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4092483650469574 " "
Order of pole (three term test) = 22.76694889792828 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.880000000000024 " "
y[1] (analytic) = -1.641209194216059 " "
y[1] (numeric) = -1.6412091942160856 " "
absolute error = 2.664535259100375700000000000000E-14 " "
relative error = 1.6235195784246867000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.414561944577241 " "
Order of pole (three term test) = 22.764407461025304 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.870000000000024 " "
y[1] (analytic) = -1.6518199402918237 " "
y[1] (numeric) = -1.6518199402918508 " "
absolute error = 2.70894418008538200000000000000E-14 " "
relative error = 1.6399754682745860000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4198246000302923 " "
Order of pole (three term test) = 22.76185650548228 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8600000000000243 " "
y[1] (analytic) = -1.6624060463941057 " "
y[1] (numeric) = -1.6624060463941333 " "
absolute error = 2.753353101070388000000000000000E-14 " "
relative error = 1.6562458414071796000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4250361419510842 " "
Order of pole (three term test) = 22.759296123133353 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8500000000000245 " "
y[1] (analytic) = -1.6729674340330094 " "
y[1] (numeric) = -1.6729674340330372 " "
absolute error = 2.775557561562891400000000000000E-14 " "
relative error = 1.6590625167591438000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4301963827246695 " "
Order of pole (three term test) = 22.756726406151984 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8400000000000247 " "
y[1] (analytic) = -1.683504024851104 " "
y[1] (numeric) = -1.6835040248511324 " "
absolute error = 2.84217094304040100000000000000E-14 " "
relative error = 1.6882471922167064000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4353051365829368 " "
Order of pole (three term test) = 22.75414744704773 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.830000000000025 " "
y[1] (analytic) = -1.694015740624132 " "
y[1] (numeric) = -1.69401574062416 " "
absolute error = 2.797762022055394500000000000000E-14 " "
relative error = 1.651556095355174000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4403622196113006 " "
Order of pole (three term test) = 22.75155933866282 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.820000000000025 " "
y[1] (analytic) = -1.7045025032617087 " "
y[1] (numeric) = -1.7045025032617371 " "
absolute error = 2.84217094304040100000000000000E-14 " "
relative error = 1.6674489697736833000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4453674497553168 " "
Order of pole (three term test) = 22.74896217416889 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8100000000000254 " "
y[1] (analytic) = -1.7149642348080292 " "
y[1] (numeric) = -1.714964234808058 " "
absolute error = 2.88657986402540700000000000000E-14 " "
relative error = 1.6831720483946574000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4503206468272414 " "
Order of pole (three term test) = 22.74635604706359 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8000000000000256 " "
y[1] (analytic) = -1.7254008574425683 " "
y[1] (numeric) = -1.7254008574425974 " "
absolute error = 2.9087843245179100000000000000E-14 " "
relative error = 1.6858600202792190000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4552216325125151 " "
Order of pole (three term test) = 22.743741051167184 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.790000000000026 " "
y[1] (analytic) = -1.7358122934807803 " "
y[1] (numeric) = -1.7358122934808098 " "
absolute error = 2.953193245502916400000000000000E-14 " "
relative error = 1.701332140920003000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4600702303761823 " "
Order of pole (three term test) = 22.741117280619275 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.780000000000026 " "
y[1] (analytic) = -1.7461984653747997 " "
y[1] (numeric) = -1.7461984653748288 " "
absolute error = 2.9087843245179100000000000000E-14 " "
relative error = 1.665781056504122000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.464866265869243 " "
Order of pole (three term test) = 22.738484829875297 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.770000000000026 " "
y[1] (analytic) = -1.7565592957141365 " "
y[1] (numeric) = -1.7565592957141658 " "
absolute error = 2.93098878501041300000000000000E-14 " "
relative error = 1.6685965524544433000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4696095663349376 " "
Order of pole (three term test) = 22.7358437937032 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7600000000000264 " "
y[1] (analytic) = -1.7668947072263754 " "
y[1] (numeric) = -1.7668947072264054 " "
absolute error = 2.997602166487922700000000000000E-14 " "
relative error = 1.6965369550478074000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4742999610149614 " "
Order of pole (three term test) = 22.733194267179996 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7500000000000266 " "
y[1] (analytic) = -1.7772046227778717 " "
y[1] (numeric) = -1.777204622777902 " "
absolute error = 3.01980662698042600000000000000E-14 " "
relative error = 1.699189045693735000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4789372810556132 " "
Order of pole (three term test) = 22.73053634568836 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.740000000000027 " "
y[1] (analytic) = -1.7874889653744428 " "
y[1] (numeric) = -1.7874889653744732 " "
absolute error = 3.04201108747292900000000000000E-14 " "
relative error = 1.7018348903964780000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4835213595138725 " "
Order of pole (three term test) = 22.727870124913185 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.730000000000027 " "
y[1] (analytic) = -1.7977476581620633 " "
y[1] (numeric) = -1.7977476581620935 " "
absolute error = 3.01980662698042600000000000000E-14 " "
relative error = 1.6797722490528735000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4880520313634096 " "
Order of pole (three term test) = 22.725195700838114 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7200000000000273 " "
y[1] (analytic) = -1.8079806244275551 " "
y[1] (numeric) = -1.8079806244275851 " "
absolute error = 2.997602166487922700000000000000E-14 " "
relative error = 1.6579835679583274000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4925291335005262 " "
Order of pole (three term test) = 22.72251316974214 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7100000000000275 " "
y[1] (analytic) = -1.8181877875992787 " "
y[1] (numeric) = -1.8181877875993093 " "
absolute error = 3.06421554796543200000000000000E-14 " "
relative error = 1.6853130181956613000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.496952504750031 " "
Order of pole (three term test) = 22.71982262819609 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7000000000000277 " "
y[1] (analytic) = -1.8283690712478236 " "
y[1] (numeric) = -1.8283690712478549 " "
absolute error = 3.130828929442941400000000000000E-14 " "
relative error = 1.7123615678459364000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.501321985871034 " "
Order of pole (three term test) = 22.71712417305916 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.690000000000028 " "
y[1] (analytic) = -1.8385243990866948 " "
y[1] (numeric) = -1.838524399086726 " "
absolute error = 3.10862446895043830000000000000E-14 " "
relative error = 1.6908257896901877000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.505637419562689 " "
Order of pole (three term test) = 22.714417901475443 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.680000000000028 " "
y[1] (analytic) = -1.848653694972998 " "
y[1] (numeric) = -1.8486536949730292 " "
absolute error = 3.130828929442941400000000000000E-14 " "
relative error = 1.6935724294693666000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.509898650469848 " "
Order of pole (three term test) = 22.711703910870444 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6700000000000284 " "
y[1] (analytic) = -1.8587568829081271 " "
y[1] (numeric) = -1.8587568829081587 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.6963129599834223000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.514105525188659 " "
Order of pole (three term test) = 22.708982298947515 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6600000000000286 " "
y[1] (analytic) = -1.8688338870384475 " "
y[1] (numeric) = -1.8688338870384797 " "
absolute error = 3.21964677141295400000000000000E-14 " "
relative error = 1.722810568527921900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5182578922720866 " "
Order of pole (three term test) = 22.706253163684387 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6500000000000288 " "
y[1] (analytic) = -1.87888463165598 " "
y[1] (numeric) = -1.8788846316560122 " "
absolute error = 3.21964677141295400000000000000E-14 " "
relative error = 1.7135947131438695000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5223556022353635 " "
Order of pole (three term test) = 22.703516603329643 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.640000000000029 " "
y[1] (analytic) = -1.8889090411990783 " "
y[1] (numeric) = -1.888909041199111 " "
absolute error = 3.2640556923979600000000000000E-14 " "
relative error = 1.7280110482852790000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5263985075613744 " "
Order of pole (three term test) = 22.70077271639916 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.630000000000029 " "
y[1] (analytic) = -1.8989070402531145 " "
y[1] (numeric) = -1.898907040253147 " "
absolute error = 3.24185123190545700000000000000E-14 " "
relative error = 1.7072195548199848000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5303864627059647 " "
Order of pole (three term test) = 22.69802160167257 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6200000000000294 " "
y[1] (analytic) = -1.908878553551152 " "
y[1] (numeric) = -1.908878553551185 " "
absolute error = 3.286260152890463400000000000000E-14 " "
relative error = 1.7215658622058072000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5343193241031785 " "
Order of pole (three term test) = 22.6952633581897 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6100000000000296 " "
y[1] (analytic) = -1.9188235059746286 " "
y[1] (numeric) = -1.9188235059746617 " "
absolute error = 3.308464613382966500000000000000E-14 " "
relative error = 1.7242151782492873000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.538196950170431 " "
Order of pole (three term test) = 22.69249808524704 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.60000000000003 " "
y[1] (analytic) = -1.9287418225540283 " "
y[1] (numeric) = -1.9287418225540616 " "
absolute error = 3.330669073875469600000000000000E-14 " "
relative error = 1.7268610214844712000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.542019201313602 " "
Order of pole (three term test) = 22.689725882394082 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.59000000000003 " "
y[1] (analytic) = -1.9386334284695577 " "
y[1] (numeric) = -1.9386334284695914 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.7409572873840880000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5457859399320644 " "
Order of pole (three term test) = 22.686946849429862 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5800000000000303 " "
y[1] (analytic) = -1.9484982490518203 " "
y[1] (numeric) = -1.948498249051854 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.7321432013104754000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.549497030423634 " "
Order of pole (three term test) = 22.68416108639925 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5700000000000305 " "
y[1] (analytic) = -1.9583362097824863 " "
y[1] (numeric) = -1.95833620978252 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.7234415510477374000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5531523391894537 " "
Order of pole (three term test) = 22.681368693589413 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5600000000000307 " "
y[1] (analytic) = -1.9681472362949646 " "
y[1] (numeric) = -1.9681472362949988 " "
absolute error = 3.41948691584548200000000000000E-14 " "
relative error = 1.7374141795827547000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.556751734638802 " "
Order of pole (three term test) = 22.678569771526202 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.550000000000031 " "
y[1] (analytic) = -1.977931254375073 " "
y[1] (numeric) = -1.977931254375107 " "
absolute error = 3.41948691584548200000000000000E-14 " "
relative error = 1.7288199012386140000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5602950871938326 " "
Order of pole (three term test) = 22.675764420970484 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.540000000000031 " "
y[1] (analytic) = -1.987688189961703 " "
y[1] (numeric) = -1.987688189961738 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 1.7650176599797024000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5637822692942358 " "
Order of pole (three term test) = 22.672952742914617 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5300000000000313 " "
y[1] (analytic) = -1.997417969147492 " "
y[1] (numeric) = -1.9974179691475265 " "
absolute error = 3.44169137633798500000000000000E-14 " "
relative error = 1.7230701983756144000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5672131554018336 " "
Order of pole (three term test) = 22.67013483857866 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5200000000000315 " "
y[1] (analytic) = -2.0071205181794802 " "
y[1] (numeric) = -2.0071205181795153 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 1.7479292977372554000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5705876220050952 " "
Order of pole (three term test) = 22.667310809406903 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5100000000000318 " "
y[1] (analytic) = -2.016795763459783 " "
y[1] (numeric) = -2.016795763459818 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 1.7395438950134695000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5739055476235875 " "
Order of pole (three term test) = 22.664480757064076 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.500000000000032 " "
y[1] (analytic) = -2.0264436315462477 " "
y[1] (numeric) = -2.026443631546283 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 1.7312619523191647000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5771668128123468 " "
Order of pole (three term test) = 22.661644783431758 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.490000000000032 " "
y[1] (analytic) = -2.036064049153116 " "
y[1] (numeric) = -2.0360640491531514 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 1.7448928879610750000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.58037130016618 " "
Order of pole (three term test) = 22.658802990604702 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4800000000000324 " "
y[1] (analytic) = -2.0456569431516853 " "
y[1] (numeric) = -2.0456569431517204 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 1.71500151555732000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.583518894323886 " "
Order of pole (three term test) = 22.65595548088712 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4700000000000326 " "
y[1] (analytic) = -2.055222240570963 " "
y[1] (numeric) = -2.0552222405709983 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 1.7286274976342797000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5866094819724161 " "
Order of pole (three term test) = 22.653102356789077 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.460000000000033 " "
y[1] (analytic) = -2.064759868598328 " "
y[1] (numeric) = -2.0647598685983635 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 1.7206425467830685000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5896429518509485 " "
Order of pole (three term test) = 22.650243721022722 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.450000000000033 " "
y[1] (analytic) = -2.0742697545801816 " "
y[1] (numeric) = -2.0742697545802176 " "
absolute error = 3.59712259978550700000000000000E-14 " "
relative error = 1.7341633564500103000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5926191947548969 " "
Order of pole (three term test) = 22.647379676498634 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4400000000000333 " "
y[1] (analytic) = -2.083751826022605 " "
y[1] (numeric) = -2.0837518260226413 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 1.7475840814121063000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5955381035398355 " "
Order of pole (three term test) = 22.64451032632212 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4300000000000335 " "
y[1] (analytic) = -2.0932060105920103 " "
y[1] (numeric) = -2.0932060105920463 " "
absolute error = 3.59712259978550700000000000000E-14 " "
relative error = 1.7184751914447982000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5983995731253664 " "
Order of pole (three term test) = 22.641635773789464 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4200000000000337 " "
y[1] (analytic) = -2.102632236115789 " "
y[1] (numeric) = -2.102632236115825 " "
absolute error = 3.59712259978550700000000000000E-14 " "
relative error = 1.710771164828379000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.60120350049889 " "
Order of pole (three term test) = 22.63875612238424 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.410000000000034 " "
y[1] (analytic) = -2.1120304305829656 " "
y[1] (numeric) = -2.112030430583002 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 1.724185157580979000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6039497847193254 " "
Order of pole (three term test) = 22.63587147577359 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.400000000000034 " "
y[1] (analytic) = -2.121400522144844 " "
y[1] (numeric) = -2.121400522144881 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.7375033159833703000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.606638326920738 " "
Order of pole (three term test) = 22.632981937804505 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3900000000000343 " "
y[1] (analytic) = -2.1307424391156546 " "
y[1] (numeric) = -2.1307424391156915 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.729885496289892000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6092690303158976 " "
Order of pole (three term test) = 22.630087612500006 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3800000000000345 " "
y[1] (analytic) = -2.140056109973198 " "
y[1] (numeric) = -2.140056109973235 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.7223569160537955000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6118418001997674 " "
Order of pole (three term test) = 22.62718860405551 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3700000000000347 " "
y[1] (analytic) = -2.149341463359489 " "
y[1] (numeric) = -2.1493414633595265 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.7355778159650218000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6143565439529077 " "
Order of pole (three term test) = 22.624285016835007 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.360000000000035 " "
y[1] (analytic) = -2.158598428081402 " "
y[1] (numeric) = -2.158598428081439 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.7281349389548673000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6168131710448173 " "
Order of pole (three term test) = 22.621376955367317 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.350000000000035 " "
y[1] (analytic) = -2.1678269331113067 " "
y[1] (numeric) = -2.167826933111344 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.7207782160851084000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.619211593037184 " "
Order of pole (three term test) = 22.618464524342347 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3400000000000354 " "
y[1] (analytic) = -2.1770269075877113 " "
y[1] (numeric) = -2.1770269075877486 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.7135063189797678000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6215517235870762 " "
Order of pole (three term test) = 22.615547828607294 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3300000000000356 " "
y[1] (analytic) = -2.186198280815898 " "
y[1] (numeric) = -2.186198280815936 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 1.726631256116795000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6238334784500472 " "
Order of pole (three term test) = 22.612626973162893 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.320000000000036 " "
y[1] (analytic) = -2.1953409822685623 " "
y[1] (numeric) = -2.1953409822685996 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.6992118276249540000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6260567754831665 " "
Order of pole (three term test) = 22.609702063159613 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.310000000000036 " "
y[1] (analytic) = -2.204454941586442 " "
y[1] (numeric) = -2.2044549415864796 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 1.7123317934586668000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6282215346479834 " "
Order of pole (three term test) = 22.606773203893912 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3000000000000362 " "
y[1] (analytic) = -2.2135400885789567 " "
y[1] (numeric) = -2.213540088578995 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.7253661790071118000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6303276780134006 " "
Order of pole (three term test) = 22.603840500804402 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2900000000000365 " "
y[1] (analytic) = -2.2225963532248363 " "
y[1] (numeric) = -2.2225963532248745 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.7183359448822935000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6323751297584845 " "
Order of pole (three term test) = 22.600904059468082 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2800000000000367 " "
y[1] (analytic) = -2.2316236656727506 " "
y[1] (numeric) = -2.2316236656727892 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.7312847973095954000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6343638161751928 " "
Order of pole (three term test) = 22.59796398559651 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.270000000000037 " "
y[1] (analytic) = -2.2406219562419407 " "
y[1] (numeric) = -2.2406219562419794 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.7243319940395865000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6362936656710303 " "
Order of pole (three term test) = 22.595020385032043 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.260000000000037 " "
y[1] (analytic) = -2.249591155422843 " "
y[1] (numeric) = -2.249591155422882 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.7174570216379295000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6381646087716226 " "
Order of pole (three term test) = 22.592073363743975 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2500000000000373 " "
y[1] (analytic) = -2.258531193877717 " "
y[1] (numeric) = -2.258531193877756 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.730321483836074000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6399765781232214 " "
Order of pole (three term test) = 22.58912302782475 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2400000000000375 " "
y[1] (analytic) = -2.267442002441269 " "
y[1] (numeric) = -2.267442002441308 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.7235215024123976000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.641729508495125 " "
Order of pole (three term test) = 22.586169483486167 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2300000000000377 " "
y[1] (analytic) = -2.276323512121273 " "
y[1] (numeric) = -2.276323512121312 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.7167968550475304000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6434233367820292 " "
Order of pole (three term test) = 22.58321283705547 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.220000000000038 " "
y[1] (analytic) = -2.285175654099193 " "
y[1] (numeric) = -2.2851756540992327 " "
absolute error = 3.95239396766555730000000000000E-14 " "
relative error = 1.7295799386693425000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6450580020062988 " "
Order of pole (three term test) = 22.58025319497163 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.210000000000038 " "
y[1] (analytic) = -2.2939983597308045 " "
y[1] (numeric) = -2.293998359730844 " "
absolute error = 3.95239396766555730000000000000E-14 " "
relative error = 1.7229279833178965000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6466334453201616 " "
Order of pole (three term test) = 22.577290663781437 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2000000000000384 " "
y[1] (analytic) = -2.3027915605468063 " "
y[1] (numeric) = -2.302791560546846 " "
absolute error = 3.95239396766555730000000000000E-14 " "
relative error = 1.7163489893662137000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6481496100078303 " "
Order of pole (three term test) = 22.57432535013569 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1900000000000386 " "
y[1] (analytic) = -2.311555188253443 " "
y[1] (numeric) = -2.311555188253483 " "
absolute error = 3.996802888650563500000000000000E-14 " "
relative error = 1.729053629764494000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6496064414875382 " "
Order of pole (three term test) = 22.571357360785374 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.180000000000039 " "
y[1] (analytic) = -2.3202891747331162 " "
y[1] (numeric) = -2.3202891747331567 " "
absolute error = 4.0412118096355700000000000000E-14 " "
relative error = 1.7416845510648030000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6510038873135098 " "
Order of pole (three term test) = 22.568386802577777 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.170000000000039 " "
y[1] (analytic) = -2.3289934520449993 " "
y[1] (numeric) = -2.3289934520450397 " "
absolute error = 4.0412118096355700000000000000E-14 " "
relative error = 1.7351752561120934000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6523418971778456 " "
Order of pole (three term test) = 22.565413782452666 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.160000000000039 " "
y[1] (analytic) = -2.337667952425646 " "
y[1] (numeric) = -2.337667952425687 " "
absolute error = 4.08562073062057600000000000000E-14 " "
relative error = 1.7477335591571905000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6536204229123361 " "
Order of pole (three term test) = 22.562438407438453 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1500000000000394 " "
y[1] (analytic) = -2.3463126082896046 " "
y[1] (numeric) = -2.346312608289646 " "
absolute error = 4.130029651605582300000000000000E-14 " "
relative error = 1.760221394631748000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6548394184901924 " "
Order of pole (three term test) = 22.559460784648316 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1400000000000396 " "
y[1] (analytic) = -2.354927352230023 " "
y[1] (numeric) = -2.354927352230064 " "
absolute error = 4.130029651605582300000000000000E-14 " "
relative error = 1.7537821910703988000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6559988400277066 " "
Order of pole (three term test) = 22.556481021276355 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.13000000000004 " "
y[1] (analytic) = -2.363512117019255 " "
y[1] (numeric) = -2.3635121170192965 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 1.7662014687934770000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6570986457858263 " "
Order of pole (three term test) = 22.55349922459373 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.12000000000004 " "
y[1] (analytic) = -2.372066835609469 " "
y[1] (numeric) = -2.3720668356095103 " "
absolute error = 4.130029651605582300000000000000E-14 " "
relative error = 1.7411101532240048000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6581387961716652 " "
Order of pole (three term test) = 22.5505155019448 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1100000000000403 " "
y[1] (analytic) = -2.3805914411332467 " "
y[1] (numeric) = -2.3805914411332885 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 1.7535300263884873000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6591192537399193 " "
Order of pole (three term test) = 22.54752996074324 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1000000000000405 " "
y[1] (analytic) = -2.3890858669041894 " "
y[1] (numeric) = -2.389085866904231 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 1.7472953276475928000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6600399831942239 " "
Order of pole (three term test) = 22.544542708468242 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0900000000000407 " "
y[1] (analytic) = -2.397550046417515 " "
y[1] (numeric) = -2.3975500464175568 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 1.7411267718178183000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6609009513884185 " "
Order of pole (three term test) = 22.54155385266054 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.080000000000041 " "
y[1] (analytic) = -2.405983913350657 " "
y[1] (numeric) = -2.405983913350699 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 1.7534811725737107000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6617021273277397 " "
Order of pole (three term test) = 22.538563500918638 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.070000000000041 " "
y[1] (analytic) = -2.414387401563863 " "
y[1] (numeric) = -2.4143874015639053 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 1.7473780267586447000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6624434821699405 " "
Order of pole (three term test) = 22.535571760894868 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0600000000000414 " "
y[1] (analytic) = -2.4227604451007876 " "
y[1] (numeric) = -2.4227604451008307 " "
absolute error = 4.307665335545607400000000000000E-14 " "
relative error = 1.7779988707742034000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6631249892263267 " "
Order of pole (three term test) = 22.532578740291545 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0500000000000416 " "
y[1] (analytic) = -2.43110297818909 " "
y[1] (numeric) = -2.431102978189133 " "
absolute error = 4.307665335545607400000000000000E-14 " "
relative error = 1.7718975190242062000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6637466239627188 " "
Order of pole (three term test) = 22.529584546857087 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.040000000000042 " "
y[1] (analytic) = -2.439414935241021 " "
y[1] (numeric) = -2.4394149352410635 " "
absolute error = 4.26325641456060100000000000000E-14 " "
relative error = 1.7476552893775654000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6643083640003316 " "
Order of pole (three term test) = 22.526589288382137 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.030000000000042 " "
y[1] (analytic) = -2.447696250854015 " "
y[1] (numeric) = -2.447696250854058 " "
absolute error = 4.307665335545607400000000000000E-14 " "
relative error = 1.7598855797743038000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6648101891165863 " "
Order of pole (three term test) = 22.523593072695682 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.020000000000042 " "
y[1] (analytic) = -2.4559468598112817 " "
y[1] (numeric) = -2.455946859811325 " "
absolute error = 4.352074256530613600000000000000E-14 " "
relative error = 1.7720555471892552000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6652520812458318 " "
Order of pole (three term test) = 22.520596007661155 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0100000000000424 " "
y[1] (analytic) = -2.4641666970823892 " "
y[1] (numeric) = -2.4641666970824327 " "
absolute error = 4.352074256530613600000000000000E-14 " "
relative error = 1.766144417779664000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.665634024479999 " "
Order of pole (three term test) = 22.517598201172575 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0000000000000426 " "
y[1] (analytic) = -2.47235569782385 " "
y[1] (numeric) = -2.4723556978238936 " "
absolute error = 4.352074256530613600000000000000E-14 " "
relative error = 1.7602945483780016000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6659560050691744 " "
Order of pole (three term test) = 22.514599761150652 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.990000000000043 " "
y[1] (analytic) = -2.4805137973797065 " "
y[1] (numeric) = -2.4805137973797504 " "
absolute error = 4.3964831775156200000000000000E-14 " "
relative error = 1.7724082737051694000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.666218011422089 " "
Order of pole (three term test) = 22.511600795538907 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.980000000000043 " "
y[1] (analytic) = -2.4886409312821103 " "
y[1] (numeric) = -2.4886409312821547 " "
absolute error = 4.44089209850062600000000000000E-14 " "
relative error = 1.7844647826364993000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.666420034106545 " "
Order of pole (three term test) = 22.508601412299786 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9700000000000433 " "
y[1] (analytic) = -2.496737035251906 " "
y[1] (numeric) = -2.4967370352519502 " "
absolute error = 4.44089209850062600000000000000E-14 " "
relative error = 1.77867834529581000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6665620658497453 " "
Order of pole (three term test) = 22.505601719410734 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9600000000000435 " "
y[1] (analytic) = -2.504802045199204 " "
y[1] (numeric) = -2.504802045199249 " "
absolute error = 4.485301019485632400000000000000E-14 " "
relative error = 1.7906808356701580000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6666441015385636 " "
Order of pole (three term test) = 22.502601824860395 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9500000000000437 " "
y[1] (analytic) = -2.512835897223964 " "
y[1] (numeric) = -2.5128358972240092 " "
absolute error = 4.52970994047063870000000000000E-14 " "
relative error = 1.8026286338374903000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6666661382197243 " "
Order of pole (three term test) = 22.499601836644647 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.940000000000044 " "
y[1] (analytic) = -2.5208385276165655 " "
y[1] (numeric) = -2.5208385276166108 " "
absolute error = 4.52970994047063870000000000000E-14 " "
relative error = 1.796906025850631100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6666281750999088 " "
Order of pole (three term test) = 22.496601862762727 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.930000000000044 " "
y[1] (analytic) = -2.5288098728583823 " "
y[1] (numeric) = -2.5288098728584276 " "
absolute error = 4.52970994047063870000000000000E-14 " "
relative error = 1.7912417968182737000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6665302135457851 " "
Order of pole (three term test) = 22.493602011213394 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9200000000000443 " "
y[1] (analytic) = -2.5367498696223545 " "
y[1] (numeric) = -2.5367498696224002 " "
absolute error = 4.57411886145564500000000000000E-14 " "
relative error = 1.8031414591682202000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.666372257083959 " "
Order of pole (three term test) = 22.490602389990954 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9100000000000446 " "
y[1] (analytic) = -2.544658454773559 " "
y[1] (numeric) = -2.5446584547736046 " "
absolute error = 4.57411886145564500000000000000E-14 " "
relative error = 1.7975374466757982000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6661543114008457 " "
Order of pole (three term test) = 22.487603107081465 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9000000000000448 " "
y[1] (analytic) = -2.552535565369776 " "
y[1] (numeric) = -2.5525355653698223 " "
absolute error = 4.61852778244065100000000000000E-14 " "
relative error = 1.8093882197373350000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6658763843424662 " "
Order of pole (three term test) = 22.484604270458775 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.890000000000045 " "
y[1] (analytic) = -2.560381138662058 " "
y[1] (numeric) = -2.5603811386621045 " "
absolute error = 4.662936703425657500000000000000E-14 " "
relative error = 1.8211885070604383000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6655384859141653 " "
Order of pole (three term test) = 22.481605988080698 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.880000000000045 " "
y[1] (analytic) = -2.568195112095292 " "
y[1] (numeric) = -2.5681951120953386 " "
absolute error = 4.662936703425657500000000000000E-14 " "
relative error = 1.8156473709746088000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6651406282802497 " "
Order of pole (three term test) = 22.47860836788505 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8700000000000454 " "
y[1] (analytic) = -2.575977423308764 " "
y[1] (numeric) = -2.5759774233088106 " "
absolute error = 4.662936703425657500000000000000E-14 " "
relative error = 1.8101621005032947000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6646828257635504 " "
Order of pole (three term test) = 22.47561151778586 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8600000000000456 " "
y[1] (analytic) = -2.583728010136719 " "
y[1] (numeric) = -2.583728010136766 " "
absolute error = 4.70734562441066400000000000000E-14 " "
relative error = 1.821919956722369300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.664165094844909 " "
Order of pole (three term test) = 22.472615545669388 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.850000000000046 " "
y[1] (analytic) = -2.5914468106089226 " "
y[1] (numeric) = -2.59144681060897 " "
absolute error = 4.7517545453956700000000000000E-14 " "
relative error = 1.833629973010764000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.663587454162583 " "
Order of pole (three term test) = 22.469620559390318 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.840000000000046 " "
y[1] (analytic) = -2.5991337629512175 " "
y[1] (numeric) = -2.5991337629512645 " "
absolute error = 4.70734562441066400000000000000E-14 " "
relative error = 1.811120955570078800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6629499245115746 " "
Order of pole (three term test) = 22.466626666767834 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8300000000000463 " "
y[1] (analytic) = -2.6067888055860777 " "
y[1] (numeric) = -2.606788805586125 " "
absolute error = 4.70734562441066400000000000000E-14 " "
relative error = 1.8058024548530020000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6622525288428822 " "
Order of pole (three term test) = 22.463633975581732 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8200000000000465 " "
y[1] (analytic) = -2.6144118771331657 " "
y[1] (numeric) = -2.614411877133213 " "
absolute error = 4.7517545453956700000000000000E-14 " "
relative error = 1.8175233164126411000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6614952922626738 " "
Order of pole (three term test) = 22.460642593568583 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8100000000000467 " "
y[1] (analytic) = -2.622002916409884 " "
y[1] (numeric) = -2.6220029164099317 " "
absolute error = 4.7517545453956700000000000000E-14 " "
relative error = 1.8122613501520807000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.660678242031386 " "
Order of pole (three term test) = 22.457652628417822 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.800000000000047 " "
y[1] (analytic) = -2.6295618624319244 " "
y[1] (numeric) = -2.6295618624319723 " "
absolute error = 4.79616346638067600000000000000E-14 " "
relative error = 1.8239401532637806000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6598014075627376 " "
Order of pole (three term test) = 22.454664187767857 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.790000000000047 " "
y[1] (analytic) = -2.6370886544138186 " "
y[1] (numeric) = -2.6370886544138665 " "
absolute error = 4.79616346638067600000000000000E-14 " "
relative error = 1.8187342539103166000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.658864820422676 " "
Order of pole (three term test) = 22.45167737920224 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7800000000000473 " "
y[1] (analytic) = -2.644583231769484 " "
y[1] (numeric) = -2.644583231769532 " "
absolute error = 4.79616346638067600000000000000E-14 " "
relative error = 1.813580078994744000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6578685143282357 " "
Order of pole (three term test) = 22.448692310245757 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7700000000000475 " "
y[1] (analytic) = -2.6520455341127693 " "
y[1] (numeric) = -2.6520455341128177 " "
absolute error = 4.840572387365682500000000000000E-14 " "
relative error = 1.8252222011659675000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6568125251463288 " "
Order of pole (three term test) = 22.445709088360555 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7600000000000477 " "
y[1] (analytic) = -2.659475501258 " "
y[1] (numeric) = -2.659475501258048 " "
absolute error = 4.79616346638067600000000000000E-14 " "
relative error = 1.8034245715412560000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6556968908924532 " "
Order of pole (three term test) = 22.442727820942316 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.750000000000048 " "
y[1] (analytic) = -2.6668730732205153 " "
y[1] (numeric) = -2.666873073220563 " "
absolute error = 4.79616346638067600000000000000E-14 " "
relative error = 1.7984220976024293000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6545216517293202 " "
Order of pole (three term test) = 22.439748615316333 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.740000000000048 " "
y[1] (analytic) = -2.6742381902172125 " "
y[1] (numeric) = -2.674238190217261 " "
absolute error = 4.840572387365682500000000000000E-14 " "
relative error = 1.810075259964974000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.653286849965413 " "
Order of pole (three term test) = 22.436771578733694 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7300000000000484 " "
y[1] (analytic) = -2.6815707926670838 " "
y[1] (numeric) = -2.6815707926671326 " "
absolute error = 4.88498130835068900000000000000E-14 " "
relative error = 1.821686498715217000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.651992530053461 " "
Order of pole (three term test) = 22.433796818367387 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7200000000000486 " "
y[1] (analytic) = -2.6888708211917516 " "
y[1] (numeric) = -2.6888708211918004 " "
absolute error = 4.88498130835068900000000000000E-14 " "
relative error = 1.8167407931428947000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.650638738588843 " "
Order of pole (three term test) = 22.430824441308474 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.710000000000049 " "
y[1] (analytic) = -2.6961382166160037 " "
y[1] (numeric) = -2.6961382166160526 " "
absolute error = 4.88498130835068900000000000000E-14 " "
relative error = 1.8118437987507782000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6492255243079046 " "
Order of pole (three term test) = 22.4278545545622 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.700000000000049 " "
y[1] (analytic) = -2.703372919968325 " "
y[1] (numeric) = -2.7033729199683743 " "
absolute error = 4.92939022933569500000000000000E-14 " "
relative error = 1.8234222119061000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.647752938086207 " "
Order of pole (three term test) = 22.424887265044173 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6900000000000492 " "
y[1] (analytic) = -2.7105748724814305 " "
y[1] (numeric) = -2.7105748724814793 " "
absolute error = 4.88498130835068900000000000000E-14 " "
relative error = 1.80219382904508000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6462210329366953 " "
Order of pole (three term test) = 22.421922679576486 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6800000000000495 " "
y[1] (analytic) = -2.71774401559279 " "
y[1] (numeric) = -2.717744015592839 " "
absolute error = 4.92939022933569500000000000000E-14 " "
relative error = 1.8137801798306982000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.64462986400779 " "
Order of pole (three term test) = 22.41896090488391 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6700000000000497 " "
y[1] (analytic) = -2.72488029094516 " "
y[1] (numeric) = -2.7248802909452094 " "
absolute error = 4.92939022933569500000000000000E-14 " "
relative error = 1.8090300134344148000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6429794885814 " "
Order of pole (three term test) = 22.416002047590002 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.66000000000005 " "
y[1] (analytic) = -2.7319836403871065 " "
y[1] (numeric) = -2.731983640387156 " "
absolute error = 4.92939022933569500000000000000E-14 " "
relative error = 1.8043264082786487000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6412699660708623 " "
Order of pole (three term test) = 22.413046214213306 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.65000000000005 " "
y[1] (analytic) = -2.7390540059735264 " "
y[1] (numeric) = -2.7390540059735766 " "
absolute error = 5.018208071305708000000000000000E-14 " "
relative error = 1.832095336697136000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6395013580188038 " "
Order of pole (three term test) = 22.41009351116352 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6400000000000503 " "
y[1] (analytic) = -2.746091329966175 " "
y[1] (numeric) = -2.746091329966225 " "
absolute error = 4.97379915032070130000000000000E-14 " "
relative error = 1.8112285982789822000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6376737280949212 " "
Order of pole (three term test) = 22.407144044737606 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6300000000000505 " "
y[1] (analytic) = -2.7530955548341773 " "
y[1] (numeric) = -2.7530955548342275 " "
absolute error = 5.018208071305708000000000000000E-14 " "
relative error = 1.8227511437059296000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6357871420936967 " "
Order of pole (three term test) = 22.40419792111606 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6200000000000507 " "
y[1] (analytic) = -2.7600666232545534 " "
y[1] (numeric) = -2.760066623254604 " "
absolute error = 5.06261699229071400000000000000E-14 " "
relative error = 1.8342372425492726000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6338416679320222 " "
Order of pole (three term test) = 22.40125524635901 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.610000000000051 " "
y[1] (analytic) = -2.767004478112731 " "
y[1] (numeric) = -2.7670044781127814 " "
absolute error = 5.018208071305708000000000000000E-14 " "
relative error = 1.8135887061261416000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.631837375646755 " "
Order of pole (three term test) = 22.39831612640242 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.600000000000051 " "
y[1] (analytic) = -2.773909062503058 " "
y[1] (numeric) = -2.7739090625031086 " "
absolute error = 5.06261699229071400000000000000E-14 " "
relative error = 1.8250839801224134000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6297743373922045 " "
Order of pole (three term test) = 22.39538066705431 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5900000000000514 " "
y[1] (analytic) = -2.780780319729318 " "
y[1] (numeric) = -2.780780319729369 " "
absolute error = 5.06261699229071400000000000000E-14 " "
relative error = 1.820574231043001000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6276526274375225 " "
Order of pole (three term test) = 22.392448973990874 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5800000000000516 " "
y[1] (analytic) = -2.787618193305238 " "
y[1] (numeric) = -2.7876181933052893 " "
absolute error = 5.1070259132757200000000000000E-14 " "
relative error = 1.8320392389247514000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.625472322164039 " "
Order of pole (three term test) = 22.389521152752767 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.570000000000052 " "
y[1] (analytic) = -2.7944226269549985 " "
y[1] (numeric) = -2.7944226269550496 " "
absolute error = 5.1070259132757200000000000000E-14 " "
relative error = 1.827578213836859000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6232335000625084 " "
Order of pole (three term test) = 22.38659730874122 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.560000000000052 " "
y[1] (analytic) = -2.8011935646137385 " "
y[1] (numeric) = -2.8011935646137895 " "
absolute error = 5.1070259132757200000000000000E-14 " "
relative error = 1.8231606618659132000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6209362417302855 " "
Order of pole (three term test) = 22.383677547214322 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5500000000000522 " "
y[1] (analytic) = -2.8079309504280605 " "
y[1] (numeric) = -2.807930950428112 " "
absolute error = 5.151434834260726000000000000000E-14 " "
relative error = 1.834601678319549000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6185806298684202 " "
Order of pole (three term test) = 22.380761973283153 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5400000000000524 " "
y[1] (analytic) = -2.8146347287565345 " "
y[1] (numeric) = -2.814634728756586 " "
absolute error = 5.151434834260726000000000000000E-14 " "
relative error = 1.8302321013912015000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.616166749278686 " "
Order of pole (three term test) = 22.377850691908073 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5300000000000527 " "
y[1] (analytic) = -2.821304844170197 " "
y[1] (numeric) = -2.8213048441702484 " "
absolute error = 5.151434834260726000000000000000E-14 " "
relative error = 1.825905075414092000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6136946868605244 " "
Order of pole (three term test) = 22.37494380789489 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.520000000000053 " "
y[1] (analytic) = -2.8279412414530505 " "
y[1] (numeric) = -2.827941241453102 " "
absolute error = 5.151434834260726000000000000000E-14 " "
relative error = 1.821620180344984700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6111645316079144 " "
Order of pole (three term test) = 22.372041425891112 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.510000000000053 " "
y[1] (analytic) = -2.8345438656025608 " "
y[1] (numeric) = -2.8345438656026123 " "
absolute error = 5.151434834260726000000000000000E-14 " "
relative error = 1.8173770026189542000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6085763746061714 " "
Order of pole (three term test) = 22.36914365038219 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5000000000000533 " "
y[1] (analytic) = -2.841112661830151 " "
y[1] (numeric) = -2.841112661830203 " "
absolute error = 5.195843755245733000000000000000E-14 " "
relative error = 1.828805955163615700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6059303090286694 " "
Order of pole (three term test) = 22.366250585687727 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4900000000000535 " "
y[1] (analytic) = -2.8476475755616972 " "
y[1] (numeric) = -2.847647575561749 " "
absolute error = 5.195843755245733000000000000000E-14 " "
relative error = 1.8246091264368816000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6032264301334818 " "
Order of pole (three term test) = 22.363362335957724 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4800000000000537 " "
y[1] (analytic) = -2.854148552438016 " "
y[1] (numeric) = -2.854148552438068 " "
absolute error = 5.195843755245733000000000000000E-14 " "
relative error = 1.820453161349096000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6004648352599589 " "
Order of pole (three term test) = 22.360479005168866 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.470000000000054 " "
y[1] (analytic) = -2.860615538315356 " "
y[1] (numeric) = -2.8606155383154084 " "
absolute error = 5.24025267623073900000000000000E-14 " "
relative error = 1.8318619213390608000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5976456238252155 " "
Order of pole (three term test) = 22.357600697120763 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.460000000000054 " "
y[1] (analytic) = -2.867048479265885 " "
y[1] (numeric) = -2.8670484792659376 " "
absolute error = 5.28466159721574500000000000000E-14 " "
relative error = 1.8432411015836384000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5947688973205603 " "
Order of pole (three term test) = 22.354727515432177 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4500000000000544 " "
y[1] (analytic) = -2.873447321578175 " "
y[1] (numeric) = -2.8734473215782272 " "
absolute error = 5.24025267623073900000000000000E-14 " "
relative error = 1.8236814842155000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5918347593078368 " "
Order of pole (three term test) = 22.351859563537353 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4400000000000546 " "
y[1] (analytic) = -2.879812011757684 " "
y[1] (numeric) = -2.879812011757737 " "
absolute error = 5.28466159721574500000000000000E-14 " "
relative error = 1.835071725390251800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5888433154156958 " "
Order of pole (three term test) = 22.348996944682245 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.430000000000055 " "
y[1] (analytic) = -2.8861424965272415 " "
y[1] (numeric) = -2.886142496527295 " "
absolute error = 5.329070518200751000000000000000E-14 " "
relative error = 1.8464336132443113000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5857946733357955 " "
Order of pole (three term test) = 22.346139761920817 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.420000000000055 " "
y[1] (analytic) = -2.8924387228275243 " "
y[1] (numeric) = -2.8924387228275776 " "
absolute error = 5.329070518200751000000000000000E-14 " "
relative error = 1.8424143184583283000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.582688942818919 " "
Order of pole (three term test) = 22.34328811811134 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.410000000000055 " "
y[1] (analytic) = -2.8987006378175355 " "
y[1] (numeric) = -2.898700637817589 " "
absolute error = 5.329070518200751000000000000000E-14 " "
relative error = 1.8384342448736168000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5795262356710325 " "
Order of pole (three term test) = 22.340442115912683 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4000000000000554 " "
y[1] (analytic) = -2.9049281888750786 " "
y[1] (numeric) = -2.9049281888751324 " "
absolute error = 5.373479439185758000000000000000E-14 " "
relative error = 1.849780472978444200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5763066657492493 " "
Order of pole (three term test) = 22.337601857780623 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3900000000000556 " "
y[1] (analytic) = -2.9111213235972344 " "
y[1] (numeric) = -2.911121323597288 " "
absolute error = 5.373479439185758000000000000000E-14 " "
relative error = 1.8458452403302175000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.573030348957741 " "
Order of pole (three term test) = 22.33476744596415 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.380000000000056 " "
y[1] (analytic) = -2.9172799898008295 " "
y[1] (numeric) = -2.917279989800883 " "
absolute error = 5.373479439185758000000000000000E-14 " "
relative error = 1.8419484787103416000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.569697403243557 " "
Order of pole (three term test) = 22.33193898250177 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.370000000000056 " "
y[1] (analytic) = -2.923404135522906 " "
y[1] (numeric) = -2.9234041355229605 " "
absolute error = 5.4622972811557700000000000000E-14 " "
relative error = 1.8684714900626406000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.566307948592384 " "
Order of pole (three term test) = 22.329116569217877 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3600000000000563 " "
y[1] (analytic) = -2.929493709021193 " "
y[1] (numeric) = -2.929493709021247 " "
absolute error = 5.373479439185758000000000000000E-14 " "
relative error = 1.8342689805540333000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5628621070242223 " "
Order of pole (three term test) = 22.326300307719034 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3500000000000565 " "
y[1] (analytic) = -2.935548658774566 " "
y[1] (numeric) = -2.93554865877462 " "
absolute error = 5.41788836017076400000000000000E-14 " "
relative error = 1.8456135427959292000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5593600025889964 " "
Order of pole (three term test) = 22.323490299390347 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3400000000000567 " "
y[1] (analytic) = -2.9415689334835164 " "
y[1] (numeric) = -2.9415689334835706 " "
absolute error = 5.41788836017076400000000000000E-14 " "
relative error = 1.8418362726433535000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5558017613620883 " "
Order of pole (three term test) = 22.320686645391827 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.330000000000057 " "
y[1] (analytic) = -2.9475544820706103 " "
y[1] (numeric) = -2.9475544820706645 " "
absolute error = 5.41788836017076400000000000000E-14 " "
relative error = 1.838096087155201300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.552187511439797 " "
Order of pole (three term test) = 22.317889446654704 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.320000000000057 " "
y[1] (analytic) = -2.953505253680948 " "
y[1] (numeric) = -2.9535052536810023 " "
absolute error = 5.41788836017076400000000000000E-14 " "
relative error = 1.8343926605237826000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5485173829347305 " "
Order of pole (three term test) = 22.31509880387783 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3100000000000573 " "
y[1] (analytic) = -2.9594211976826235 " "
y[1] (numeric) = -2.9594211976826776 " "
absolute error = 5.41788836017076400000000000000E-14 " "
relative error = 1.830725671767589000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5447915079711185 " "
Order of pole (three term test) = 22.312314817524054 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3000000000000576 " "
y[1] (analytic) = -2.965302263667178 " "
y[1] (numeric) = -2.9653022636672324 " "
absolute error = 5.41788836017076400000000000000E-14 " "
relative error = 1.8270948046525556000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.541010020680056 " "
Order of pole (three term test) = 22.309537587816575 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2900000000000578 " "
y[1] (analytic) = -2.9711484014500558 " "
y[1] (numeric) = -2.9711484014501104 " "
absolute error = 5.4622972811557700000000000000E-14 " "
relative error = 1.838446466857703900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5371730571946782 " "
Order of pole (three term test) = 22.30676721473536 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.280000000000058 " "
y[1] (analytic) = -2.976959561071055 " "
y[1] (numeric) = -2.976959561071109 " "
absolute error = 5.41788836017076400000000000000E-14 " "
relative error = 1.8199401936859055000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.533280755645256 " "
Order of pole (three term test) = 22.30400379801355 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.270000000000058 " "
y[1] (analytic) = -2.982735692794774 " "
y[1] (numeric) = -2.982735692794829 " "
absolute error = 5.506706202140776000000000000000E-14 " "
relative error = 1.846193149276691100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5293332561542248 " "
Order of pole (three term test) = 22.301247437133846 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2600000000000584 " "
y[1] (analytic) = -2.9884767471110667 " "
y[1] (numeric) = -2.9884767471111218 " "
absolute error = 5.506706202140776000000000000000E-14 " "
relative error = 1.842646494560836000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5253307008311392 " "
Order of pole (three term test) = 22.298498231324935 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2500000000000586 " "
y[1] (analytic) = -2.9941826747354807 " "
y[1] (numeric) = -2.994182674735536 " "
absolute error = 5.506706202140776000000000000000E-14 " "
relative error = 1.839135016245213900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5212732337675594 " "
Order of pole (three term test) = 22.29575627955794 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.240000000000059 " "
y[1] (analytic) = -2.9998534266097034 " "
y[1] (numeric) = -2.999853426609759 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 1.850462117210639200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5171610010318608 " "
Order of pole (three term test) = 22.293021680542815 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.230000000000059 " "
y[1] (analytic) = -3.0054889539020055 " "
y[1] (numeric) = -3.005488953902061 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 1.8469923557425852000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.512994150663979 " "
Order of pole (three term test) = 22.29029453272484 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2200000000000593 " "
y[1] (analytic) = -3.0110892080076765 " "
y[1] (numeric) = -3.011089208007733 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 1.873054092883394000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5087728326700771 " "
Order of pole (three term test) = 22.287574934281047 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2100000000000595 " "
y[1] (analytic) = -3.016654140549468 " "
y[1] (numeric) = -3.016654140549524 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 1.85487755089205980000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5044971990171447 " "
Order of pole (three term test) = 22.284862983116664 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2000000000000597 " "
y[1] (analytic) = -3.022183703378021 " "
y[1] (numeric) = -3.022183703378077 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 1.8661780747450285000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5001674036275348 " "
Order of pole (three term test) = 22.282158776861664 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.19000000000006 " "
y[1] (analytic) = -3.0276778485723073 " "
y[1] (numeric) = -3.027677848572363 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 1.8481239827907525000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4957836023734112 " "
Order of pole (three term test) = 22.27946241286716 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.18000000000006 " "
y[1] (analytic) = -3.0331365284400547 " "
y[1] (numeric) = -3.033136528440111 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 1.8594392017020145000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4913459530711468 " "
Order of pole (three term test) = 22.27677398820198 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1700000000000603 " "
y[1] (analytic) = -3.038559695518181 " "
y[1] (numeric) = -3.0385596955182375 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 1.8561205078230295000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4868546154756377 " "
Order of pole (three term test) = 22.27409359964912 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1600000000000605 " "
y[1] (analytic) = -3.0439473025732178 " "
y[1] (numeric) = -3.0439473025732746 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 1.8674245382880025000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.48230975127455 " "
Order of pole (three term test) = 22.271421343702276 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1500000000000608 " "
y[1] (analytic) = -3.049299302601737 " "
y[1] (numeric) = -3.049299302601794 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 1.864146914417611200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4777115240825074 " "
Order of pole (three term test) = 22.26875731656237 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.140000000000061 " "
y[1] (analytic) = -3.0546156488307727 " "
y[1] (numeric) = -3.05461564883083 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 1.8754407970307570000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4730600994351897 " "
Order of pole (three term test) = 22.26610161413409 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.130000000000061 " "
y[1] (analytic) = -3.0598962947182446 " "
y[1] (numeric) = -3.059896294718302 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 1.872204236775714000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4683556447833825 " "
Order of pole (three term test) = 22.263454332022437 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1200000000000614 " "
y[1] (analytic) = -3.065141193953374 " "
y[1] (numeric) = -3.065141193953431 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 1.8690006249522717000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4635983294869452 " "
Order of pole (three term test) = 22.260815565529295 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1100000000000616 " "
y[1] (analytic) = -3.070350300457102 " "
y[1] (numeric) = -3.0703503004571595 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 1.8658297088162650000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4587883248087152 " "
Order of pole (three term test) = 22.258185409649958 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.100000000000062 " "
y[1] (analytic) = -3.075523568382505 " "
y[1] (numeric) = -3.075523568382563 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.87713070626445020000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.453925803908341 " "
Order of pole (three term test) = 22.255563959069754 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.090000000000062 " "
y[1] (analytic) = -3.080660952115206 " "
y[1] (numeric) = -3.0806609521152635 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 1.8595849709239837000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4490109418360502 " "
Order of pole (three term test) = 22.25295130816063 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0800000000000622 " "
y[1] (analytic) = -3.0857624062737843 " "
y[1] (numeric) = -3.0857624062738425 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.8852937728478036000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4440439155263451 " "
Order of pole (three term test) = 22.250347550977718 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0700000000000625 " "
y[1] (analytic) = -3.090827885710188 " "
y[1] (numeric) = -3.090827885710246 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.8822040126958092000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4390249037916392 " "
Order of pole (three term test) = 22.247752781256025 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0600000000000627 " "
y[1] (analytic) = -3.095857345510135 " "
y[1] (numeric) = -3.095857345510193 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.8791462266415257000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.43395408731581 " "
Order of pole (three term test) = 22.24516709240696 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.050000000000063 " "
y[1] (analytic) = -3.10085074099352 " "
y[1] (numeric) = -3.1008507409935784 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.8761201795775104000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.428831648647706 " "
Order of pole (three term test) = 22.242590577515042 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.040000000000063 " "
y[1] (analytic) = -3.1058080277148186 " "
y[1] (numeric) = -3.1058080277148767 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.8731256398085402000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4236577721945622 " "
Order of pole (three term test) = 22.24002332933453 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0300000000000633 " "
y[1] (analytic) = -3.1107291614634818 " "
y[1] (numeric) = -3.1107291614635404 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.8844384276974424000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4184326442153745 " "
Order of pole (three term test) = 22.23746544028609 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0200000000000635 " "
y[1] (analytic) = -3.11561409826434 " "
y[1] (numeric) = -3.1156140982643983 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.867230172143814800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4131564528141867 " "
Order of pole (three term test) = 22.234917002453443 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0100000000000637 " "
y[1] (analytic) = -3.120462794377994 " "
y[1] (numeric) = -3.1204627943780525 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.878560315021895000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4078293879333175 " "
Order of pole (three term test) = 22.23237810758008 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.000000000000064 " "
y[1] (analytic) = -3.125275206301212 " "
y[1] (numeric) = -3.1252752063012705 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.875667639829557100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.402451641346529 " "
Order of pole (three term test) = 22.22984884706595 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.990000000000064 " "
y[1] (analytic) = -3.1300512907673186 " "
y[1] (numeric) = -3.130051290767377 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.8728055950111244000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.397023406652116 " "
Order of pole (three term test) = 22.227329311964137 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.980000000000064 " "
y[1] (analytic) = -3.1347910047465866 " "
y[1] (numeric) = -3.134791004746645 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.8699739667317003000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3915448792659422 " "
Order of pole (three term test) = 22.22481959297765 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.970000000000064 " "
y[1] (analytic) = -3.1394943054466213 " "
y[1] (numeric) = -3.1394943054466804 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.881317790817141000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.386016256414401 " "
Order of pole (three term test) = 22.222319780456097 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.960000000000064 " "
y[1] (analytic) = -3.1441611503127493 " "
y[1] (numeric) = -3.1441611503128084 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.8785253708825725000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3804377371273187 " "
Order of pole (three term test) = 22.219829964392456 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.950000000000064 " "
y[1] (analytic) = -3.1487914970283986 " "
y[1] (numeric) = -3.148791497028457 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.8616594892208446000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3748095222307863 " "
Order of pole (three term test) = 22.21735023441984 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.940000000000064 " "
y[1] (analytic) = -3.153385303515479 " "
y[1] (numeric) = -3.1533853035155377 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.858947450375231800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3691318143399334 " "
Order of pole (three term test) = 22.214880679808257 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9300000000000639 " "
y[1] (analytic) = -3.1579425279347646 " "
y[1] (numeric) = -3.157942527934823 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.8562648047475555000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.36340481785163 " "
Order of pole (three term test) = 22.212421389461408 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9200000000000639 " "
y[1] (analytic) = -3.1624631286862668 " "
y[1] (numeric) = -3.162463128686325 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.839568846278541000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3576287389371322 " "
Order of pole (three term test) = 22.209972451913483 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9100000000000639 " "
y[1] (analytic) = -3.166947064409609 " "
y[1] (numeric) = -3.1669470644096673 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.836964284756791900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3518037855346556 " "
Order of pole (three term test) = 22.20753395532596 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9000000000000639 " "
y[1] (analytic) = -3.1713942939844015 " "
y[1] (numeric) = -3.1713942939844597 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.834388319380773000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3459301673418944 " "
Order of pole (three term test) = 22.205105987484465 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8900000000000639 " "
y[1] (analytic) = -3.175804776530609 " "
y[1] (numeric) = -3.1758047765306667 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.8178572469928936000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3400080958084701 " "
Order of pole (three term test) = 22.20268863579557 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8800000000000638 " "
y[1] (analytic) = -3.1801784714089174 " "
y[1] (numeric) = -3.1801784714089756 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.8293214363087168000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3340377841283173 " "
Order of pole (three term test) = 22.20028198728368 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8700000000000638 " "
y[1] (analytic) = -3.184515338221104 " "
y[1] (numeric) = -3.184515338221163 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.8407754233946869000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3280194472320108 " "
Order of pole (three term test) = 22.197886128587875 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8600000000000638 " "
y[1] (analytic) = -3.188815336810399 " "
y[1] (numeric) = -3.1888153368104573 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.8243667426834514000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3219533017790304 " "
Order of pole (three term test) = 22.19550114595881 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8500000000000638 " "
y[1] (analytic) = -3.1930784272618435 " "
y[1] (numeric) = -3.1930784272619017 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.821931024107213000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3158395661499565 " "
Order of pole (three term test) = 22.19312712525561 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8400000000000638 " "
y[1] (analytic) = -3.1973045699026534 " "
y[1] (numeric) = -3.1973045699027116 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.8195228267580854000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3096784604386122 " "
Order of pole (three term test) = 22.19076415194276 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8300000000000638 " "
y[1] (analytic) = -3.201493725302574 " "
y[1] (numeric) = -3.2014937253026328 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.8310132934796897000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3034702064441364 " "
Order of pole (three term test) = 22.188412311087035 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8200000000000638 " "
y[1] (analytic) = -3.2056458542742376 " "
y[1] (numeric) = -3.205645854274296 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.8147883183287336000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2972150276630041 " "
Order of pole (three term test) = 22.18607168735446 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8100000000000638 " "
y[1] (analytic) = -3.209760917873511 " "
y[1] (numeric) = -3.2097609178735698 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.8262972601412403000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2909131492809744 " "
Order of pole (three term test) = 22.18374236500724 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8000000000000638 " "
y[1] (analytic) = -3.2138388773998523 " "
y[1] (numeric) = -3.213838877399911 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.823979917363948200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2845647981649893 " "
Order of pole (three term test) = 22.181424427900723 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7900000000000638 " "
y[1] (analytic) = -3.2178796943966534 " "
y[1] (numeric) = -3.217879694396712 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.821689474665067200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2781702028550035 " "
Order of pole (three term test) = 22.1791179594804 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7800000000000638 " "
y[1] (analytic) = -3.2218833306515906 " "
y[1] (numeric) = -3.2218833306516492 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.8194257731968547000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2717295935557564 " "
Order of pole (three term test) = 22.17682304277887 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7700000000000637 " "
y[1] (analytic) = -3.2258497481969663 " "
y[1] (numeric) = -3.2258497481970245 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.8034220757762978000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2652432021284883 " "
Order of pole (three term test) = 22.174539760412898 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7600000000000637 " "
y[1] (analytic) = -3.22977890931005 " "
y[1] (numeric) = -3.2297789093101086 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.8149779705116317000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2587112620825902 " "
Order of pole (three term test) = 22.17226819458041 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7500000000000637 " "
y[1] (analytic) = -3.233670776513421 " "
y[1] (numeric) = -3.2336707765134793 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7990602788909718000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2521340085671966 " "
Order of pole (three term test) = 22.17000842705752 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7400000000000637 " "
y[1] (analytic) = -3.2375253125753014 " "
y[1] (numeric) = -3.2375253125753596 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7969183519396840000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.245511678362725 " "
Order of pole (three term test) = 22.167760539195616 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7300000000000637 " "
y[1] (analytic) = -3.241342480509895 " "
y[1] (numeric) = -3.241342480509953 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7948022105089800000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2388445098723482 " "
Order of pole (three term test) = 22.16552461191842 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7200000000000637 " "
y[1] (analytic) = -3.245122243577717 " "
y[1] (numeric) = -3.2451222435777756 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.8063965330187534000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2321327431134108 " "
Order of pole (three term test) = 22.163300725719065 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7100000000000637 " "
y[1] (analytic) = -3.248864565285928 " "
y[1] (numeric) = -3.2488645652859867 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.8043157700865634000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.225376619708792 " "
Order of pole (three term test) = 22.16108896065723 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7000000000000637 " "
y[1] (analytic) = -3.25256940938866 " "
y[1] (numeric) = -3.2525694093887187 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.8022605614810294000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2185763828782035 " "
Order of pole (three term test) = 22.15888939635621 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6900000000000637 " "
y[1] (analytic) = -3.256236739887343 " "
y[1] (numeric) = -3.2562367398874015 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.8002307689162783000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2117322774294375 " "
Order of pole (three term test) = 22.156702112000072 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6800000000000637 " "
y[1] (analytic) = -3.2598665210310287 " "
y[1] (numeric) = -3.2598665210310873 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.798226256259966000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2048445497495504 " "
Order of pole (three term test) = 22.15452718633083 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6700000000000637 " "
y[1] (analytic) = -3.2634587173167136 " "
y[1] (numeric) = -3.263458717316772 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7962468895088926000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.197913447795997 " "
Order of pole (three term test) = 22.152364697645567 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6600000000000636 " "
y[1] (analytic) = -3.267013293489658 " "
y[1] (numeric) = -3.2670132934897165 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.794292536765089200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.190939221087696 " "
Order of pole (three term test) = 22.15021472379365 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6500000000000636 " "
y[1] (analytic) = -3.270530214543702 " "
y[1] (numeric) = -3.2705302145437605 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.792363068212375000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.183922120696058 " "
Order of pole (three term test) = 22.148077342173895 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6400000000000636 " "
y[1] (analytic) = -3.2740094457215827 " "
y[1] (numeric) = -3.2740094457216413 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.790458356093369000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.176862399235938 " "
Order of pole (three term test) = 22.145952629731816 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6300000000000636 " "
y[1] (analytic) = -3.2774509525152453 " "
y[1] (numeric) = -3.277450952515304 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7885782746869525000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1697603108565462 " "
Order of pole (three term test) = 22.14384066295683 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6200000000000636 " "
y[1] (analytic) = -3.2808547006661546 " "
y[1] (numeric) = -3.2808547006662128 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7731869222537053000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.162616111232298 " "
Order of pole (three term test) = 22.14174151787951 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6100000000000636 " "
y[1] (analytic) = -3.2842206561656013 " "
y[1] (numeric) = -3.28422065616566 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7848915111766003000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1554300575536083 " "
Order of pole (three term test) = 22.13965527006885 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6000000000000636 " "
y[1] (analytic) = -3.287548785255013 " "
y[1] (numeric) = -3.2875487852550718 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7830845876150603000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1482024085176317 " "
Order of pole (three term test) = 22.13758199462956 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5900000000000636 " "
y[1] (analytic) = -3.2908390544262525 " "
y[1] (numeric) = -3.290839054426311 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7813018118088564000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1409334243189548 " "
Order of pole (three term test) = 22.13552176619932 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5800000000000636 " "
y[1] (analytic) = -3.294091430421922 " "
y[1] (numeric) = -3.2940914304219806 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7795430678953553000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1336233666402236 " "
Order of pole (three term test) = 22.133474658946135 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5700000000000636 " "
y[1] (analytic) = -3.2973058802356623 " "
y[1] (numeric) = -3.297305880235721 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7778082419219973000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1262724986427233 " "
Order of pole (three term test) = 22.13144074656563 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5600000000000636 " "
y[1] (analytic) = -3.30048237111245 " "
y[1] (numeric) = -3.3004823711125084 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7760972218267013000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1188810849569102 " "
Order of pole (three term test) = 22.129420102278452 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5500000000000635 " "
y[1] (analytic) = -3.3036208705488903 " "
y[1] (numeric) = -3.3036208705489494 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7878523966415366000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1114493916728778 " "
Order of pole (three term test) = 22.127412798827578 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5400000000000635 " "
y[1] (analytic) = -3.3067213462935143 " "
y[1] (numeric) = -3.306721346293573 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7727461603595612000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1039776863307798 " "
Order of pole (three term test) = 22.1254189084757 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5300000000000635 " "
y[1] (analytic) = -3.3097837663470635 " "
y[1] (numeric) = -3.3097837663471217 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7576884351742850000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0964662379112062 " "
Order of pole (three term test) = 22.123438503002664 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5200000000000635 " "
y[1] (analytic) = -3.3128080989627806 " "
y[1] (numeric) = -3.3128080989628392 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.769489024086899000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0889153168254835 " "
Order of pole (three term test) = 22.12147165370285 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5100000000000635 " "
y[1] (analytic) = -3.3157943126466964 " "
y[1] (numeric) = -3.315794312646755 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7678954172949718000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.081325194905959 " "
Order of pole (three term test) = 22.11951843138262 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5000000000000635 " "
y[1] (analytic) = -3.318742376157911 " "
y[1] (numeric) = -3.31874237615797 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.779706232528848000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0736961453962008 " "
Order of pole (three term test) = 22.11757890635777 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4900000000000635 " "
y[1] (analytic) = -3.3216522585088764 " "
y[1] (numeric) = -3.321652258508935 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7647776208375070000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0660284429411662 " "
Order of pole (three term test) = 22.115653148450985 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4800000000000635 " "
y[1] (analytic) = -3.3245239289656743 " "
y[1] (numeric) = -3.3245239289657325 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7498952551819300000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0583223635773182 " "
Order of pole (three term test) = 22.113741226989355 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4700000000000635 " "
y[1] (analytic) = -3.327357357048293 " "
y[1] (numeric) = -3.327357357048351 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.748405122976211000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0505781847226794 " "
Order of pole (three term test) = 22.111843210801833 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4600000000000635 " "
y[1] (analytic) = -3.3301525125309017 " "
y[1] (numeric) = -3.330152512530961 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.773608406456137000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0427961851668535 " "
Order of pole (three term test) = 22.1099591682168 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4500000000000635 " "
y[1] (analytic) = -3.332909365442126 " "
y[1] (numeric) = -3.3329093654421844 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7588169755834956000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.034976645060983 " "
Order of pole (three term test) = 22.108089167059585 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4400000000000635 " "
y[1] (analytic) = -3.33562788606531 " "
y[1] (numeric) = -3.3356278860653683 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7440700365106357000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0271198459076665 " "
Order of pole (three term test) = 22.106233274650037 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4300000000000634 " "
y[1] (analytic) = -3.338308044938791 " "
y[1] (numeric) = -3.338308044938849 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7426698107910793000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0192260705508278 " "
Order of pole (three term test) = 22.10439155780007 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4200000000000634 " "
y[1] (analytic) = -3.3409498128561603 " "
y[1] (numeric) = -3.3409498128562185 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7412918406165495000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0112956031655247 " "
Order of pole (three term test) = 22.10256408281129 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4100000000000634 " "
y[1] (analytic) = -3.3435531608665294 " "
y[1] (numeric) = -3.343553160866587 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.726654086323729000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.003328729247728 " "
Order of pole (three term test) = 22.100750915472613 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4000000000000634 " "
y[1] (analytic) = -3.3461180602747866 " "
y[1] (numeric) = -3.346118060274845 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.738602327904137000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9953257356040379 " "
Order of pole (three term test) = 22.098952121057863 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3900000000000634 " "
y[1] (analytic) = -3.3486444826418595 " "
y[1] (numeric) = -3.3486444826419177 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7372906198887206000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9872869103413607 " "
Order of pole (three term test) = 22.097167764323434 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3800000000000634 " "
y[1] (analytic) = -3.3511323997849676 " "
y[1] (numeric) = -3.3511323997850258 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7360008364363988000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9792125428565377 " "
Order of pole (three term test) = 22.095397909505994 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3700000000000634 " "
y[1] (analytic) = -3.3535817837778774 " "
y[1] (numeric) = -3.3535817837779356 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7347328987701655000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9711029238259276 " "
Order of pole (three term test) = 22.09364262032011 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3600000000000634 " "
y[1] (analytic) = -3.355992606951154 " "
y[1] (numeric) = -3.355992606951212 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7334867296745787000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9629583451949381 " "
Order of pole (three term test) = 22.091901959956004 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3500000000000634 " "
y[1] (analytic) = -3.3583648418924086 " "
y[1] (numeric) = -3.358364841892467 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7454856294641455000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9547791001675209 " "
Order of pole (three term test) = 22.09017599107727 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3400000000000634 " "
y[1] (analytic) = -3.3606984614465483 " "
y[1] (numeric) = -3.360698461446607 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7442735899303655000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9465654831956142 " "
Order of pole (three term test) = 22.088464775818597 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3300000000000634 " "
y[1] (analytic) = -3.3629934387160167 " "
y[1] (numeric) = -3.362993438716075 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7298780848222395000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9383177899685403 " "
Order of pole (three term test) = 22.086768375783546 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3200000000000633 " "
y[1] (analytic) = -3.365249747061038 " "
y[1] (numeric) = -3.3652497470610965 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7419145711667455000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9300363174023663 " "
Order of pole (three term test) = 22.08508685204233 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3100000000000633 " "
y[1] (analytic) = -3.367467360099857 " "
y[1] (numeric) = -3.367467360099916 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7539550823829478000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.92172136362921 " "
Order of pole (three term test) = 22.08342026512964 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3000000000000633 " "
y[1] (analytic) = -3.369646251708977 " "
y[1] (numeric) = -3.3696462517090358 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7396418294792276000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9133732279865093 " "
Order of pole (three term test) = 22.081768675042415 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2900000000000633 " "
y[1] (analytic) = -3.3717863960233916 " "
y[1] (numeric) = -3.3717863960234506 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7517083816376064000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9049922110062442 " "
Order of pole (three term test) = 22.080132141237723 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2800000000000633 " "
y[1] (analytic) = -3.3738877674368215 " "
y[1] (numeric) = -3.373887767436881 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.763779894940525000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8965786144041228 " "
Order of pole (three term test) = 22.078510722630593 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2700000000000633 " "
y[1] (analytic) = -3.375950340601944 " "
y[1] (numeric) = -3.375950340602003 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7495477999100847000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8881327410687127 " "
Order of pole (three term test) = 22.07690447759193 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2600000000000633 " "
y[1] (analytic) = -3.3779740904306177 " "
y[1] (numeric) = -3.377974090430677 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.761646256804842200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8796548950505425 " "
Order of pole (three term test) = 22.07531346394638 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2500000000000633 " "
y[1] (analytic) = -3.379958992094114 " "
y[1] (numeric) = -3.3799589920941733 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7474728258008910000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8711453815511526 " "
Order of pole (three term test) = 22.07373773897026 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2400000000000633 " "
y[1] (analytic) = -3.3819050210233366 " "
y[1] (numeric) = -3.381905021023395 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.733335955202858000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8626045069121113 " "
Order of pole (three term test) = 22.072177359389503 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2300000000000633 " "
y[1] (analytic) = -3.3838121529090417 " "
y[1] (numeric) = -3.3838121529091008 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7454829713074202000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8540325786039821 " "
Order of pole (three term test) = 22.070632381377603 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2200000000000633 " "
y[1] (analytic) = -3.385680363702062 " "
y[1] (numeric) = -3.385680363702121 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7445198177383503000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8454299052152577 " "
Order of pole (three term test) = 22.069102860553592 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2100000000000632 " "
y[1] (analytic) = -3.3875096296135174 " "
y[1] (numeric) = -3.3875096296135765 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7435777715205180000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8367967964412525 " "
Order of pole (three term test) = 22.06758885198008 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2000000000000632 " "
y[1] (analytic) = -3.389299927115033 " "
y[1] (numeric) = -3.389299927115092 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7426567781014707000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8281335630729497 " "
Order of pole (three term test) = 22.06609041016118 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1900000000000632 " "
y[1] (analytic) = -3.391051232938948 " "
y[1] (numeric) = -3.3910512329390072 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.741756784337021000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8194405169858139 " "
Order of pole (three term test) = 22.064607589040662 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1800000000000632 " "
y[1] (analytic) = -3.3927635240785277 " "
y[1] (numeric) = -3.3927635240785867 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7408777384831156000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8107179711285667 " "
Order of pole (three term test) = 22.06314044199992 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1700000000000632 " "
y[1] (analytic) = -3.3944367777881688 " "
y[1] (numeric) = -3.394436777788228 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7400195901879376000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8019662395119159 " "
Order of pole (three term test) = 22.06168902185608 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1600000000000632 " "
y[1] (analytic) = -3.3960709715836046 " "
y[1] (numeric) = -3.3960709715836637 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7391822904842463000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7931856371972547 " "
Order of pole (three term test) = 22.060253380860114 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1500000000000632 " "
y[1] (analytic) = -3.3976660832421084 " "
y[1] (numeric) = -3.397666083242167 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7252953722948644000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7843764802853195 " "
Order of pole (three term test) = 22.058833570694954 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1400000000000632 " "
y[1] (analytic) = -3.39922209080269 " "
y[1] (numeric) = -3.3992220908027493 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7375700478608921000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7755390859048056 " "
Order of pole (three term test) = 22.05742964247359 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1300000000000632 " "
y[1] (analytic) = -3.4007389725662995 " "
y[1] (numeric) = -3.4007389725663586 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7367950138639124000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7666737722009572 " "
Order of pole (three term test) = 22.0560416467373 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1200000000000632 " "
y[1] (analytic) = -3.402216707096016 " "
y[1] (numeric) = -3.402216707096075 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7360406462900674000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7577808583241101 " "
Order of pole (three term test) = 22.054669633453795 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1100000000000632 " "
y[1] (analytic) = -3.4036552732172454 " "
y[1] (numeric) = -3.4036552732173044 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7353069029881293000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7488606644182053 " "
Order of pole (three term test) = 22.053313652015376 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1000000000000631 " "
y[1] (analytic) = -3.4050546500179077 " "
y[1] (numeric) = -3.4050546500179664 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.721551684931106000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7399135116092561 " "
Order of pole (three term test) = 22.051973751237245 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0900000000000631 " "
y[1] (analytic) = -3.4064148168486272 " "
y[1] (numeric) = -3.406414816848686 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7208642767247917000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7309397219938001 " "
Order of pole (three term test) = 22.05064997935569 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0800000000000631 " "
y[1] (analytic) = -3.4077357533229176 " "
y[1] (numeric) = -3.4077357533229766 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7332290173163972000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7219396186272943 " "
Order of pole (three term test) = 22.049342384026335 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0700000000000631 " "
y[1] (analytic) = -3.409017439317366 " "
y[1] (numeric) = -3.409017439317425 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.732577376368174000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7129135255124875 " "
Order of pole (three term test) = 22.048051012322496 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0600000000000631 " "
y[1] (analytic) = -3.4102598549718137 " "
y[1] (numeric) = -3.4102598549718723 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7189240173222156000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.703861767587756 " "
Order of pole (three term test) = 22.04677591073339 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.050000000000063 " "
y[1] (analytic) = -3.411462980689534 " "
y[1] (numeric) = -3.4114629806895924 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7183178018352666000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6947846707154086 " "
Order of pole (three term test) = 22.045517125162565 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.040000000000063 " "
y[1] (analytic) = -3.41262679713741 " "
y[1] (numeric) = -3.4126267971374684 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7177317997203764000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6856825616699522 " "
Order of pole (three term test) = 22.04427470092614 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.030000000000063 " "
y[1] (analytic) = -3.413751285246108 " "
y[1] (numeric) = -3.4137512852461662 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.704157146473666800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6765557681263291 " "
Order of pole (three term test) = 22.04304868275127 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.020000000000063 " "
y[1] (analytic) = -3.414836426210249 " "
y[1] (numeric) = -3.4148364262103073 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7036156122687549000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6674046186481218 " "
Order of pole (three term test) = 22.041839114774465 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.010000000000063 " "
y[1] (analytic) = -3.4158822014885786 " "
y[1] (numeric) = -3.4158822014886367 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7030940488816126000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6582294426757228 " "
Order of pole (three term test) = 22.04064604054005 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.000000000000063 " "
y[1] (analytic) = -3.4168885928041326 " "
y[1] (numeric) = -3.4168885928041908 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7025924290559108000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6490305705144758 " "
Order of pole (three term test) = 22.039469502998564 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.990000000000063 " "
y[1] (analytic) = -3.417855582144403 " "
y[1] (numeric) = -3.417855582144461 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6891175151492696000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6398083333227855 " "
Order of pole (three term test) = 22.038309544505235 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.980000000000063 " "
y[1] (analytic) = -3.418783151761499 " "
y[1] (numeric) = -3.418783151761557 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7016489174045354000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6305630631001953 " "
Order of pole (three term test) = 22.03716620681844 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.970000000000063 " "
y[1] (analytic) = -3.4196712841723067 " "
y[1] (numeric) = -3.419671284172365 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7012069773963368000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6212950926754337 " "
Order of pole (three term test) = 22.03603953109821 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.960000000000063 " "
y[1] (analytic) = -3.420519962158648 " "
y[1] (numeric) = -3.420519962158706 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7007848845777307000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6120047556944351 " "
Order of pole (three term test) = 22.03492955790475 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.950000000000063 " "
y[1] (analytic) = -3.421329168767433 " "
y[1] (numeric) = -3.4213291687674916 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7133626379868797000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6026923866083284 " "
Order of pole (three term test) = 22.033836327196994 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.940000000000063 " "
y[1] (analytic) = -3.4220988873108156 " "
y[1] (numeric) = -3.422098887310874 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.712977258417958000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.593358320661395 " "
Order of pole (three term test) = 22.0327598783311 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.930000000000063 " "
y[1] (analytic) = -3.422829101366341 " "
y[1] (numeric) = -3.4228291013663994 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.699637486053141000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5840028938790001 " "
Order of pole (three term test) = 22.031700250059128 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.920000000000063 " "
y[1] (analytic) = -3.423519794777094 " "
y[1] (numeric) = -3.4235197947771527 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7122662994278087000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5746264430554976 " "
Order of pole (three term test) = 22.03065748052757 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.910000000000063 " "
y[1] (analytic) = -3.424170951651847 " "
y[1] (numeric) = -3.4241709516519054 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7119406866041434000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5652293057421051 " "
Order of pole (three term test) = 22.029631607276034 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.900000000000063 " "
y[1] (analytic) = -3.424782556365199 " "
y[1] (numeric) = -3.4247825563652574 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7116349647150386000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5558118202347497 " "
Order of pole (three term test) = 22.028622667235837 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.890000000000063 " "
y[1] (analytic) = -3.425354593557719 " "
y[1] (numeric) = -3.4253545935577776 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7113491201891384000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5463743255618945 " "
Order of pole (three term test) = 22.027630696728707 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.880000000000063 " "
y[1] (analytic) = -3.4258870481360844 " "
y[1] (numeric) = -3.425887048136143 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7110831407037022000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5369171614723268 " "
Order of pole (three term test) = 22.026655731465475 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.870000000000063 " "
y[1] (analytic) = -3.4263799052732145 " "
y[1] (numeric) = -3.426379905273273 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7108370151830554000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.527440668422933 " "
Order of pole (three term test) = 22.02569780654479 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8600000000000629 " "
y[1] (analytic) = -3.426833150408406 " "
y[1] (numeric) = -3.4268331504084646 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7106107337972387000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5179451875664397 " "
Order of pole (three term test) = 22.02475695645185 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8500000000000629 " "
y[1] (analytic) = -3.427246769247464 " "
y[1] (numeric) = -3.4272467692475224 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.6974466797187204000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5084310607391324 " "
Order of pole (three term test) = 22.023833215057152 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8400000000000629 " "
y[1] (analytic) = -3.4276207477628287 " "
y[1] (numeric) = -3.4276207477628873 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.710217670332074000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4988986304485486 " "
Order of pole (three term test) = 22.02292661561528 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8300000000000629 " "
y[1] (analytic) = -3.4279550721937038 " "
y[1] (numeric) = -3.427955072193763 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7230058056817146000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4893482398611497 " "
Order of pole (three term test) = 22.022037190763733 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8200000000000629 " "
y[1] (analytic) = -3.4282497290461804 " "
y[1] (numeric) = -3.428249729046239 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7099038965436647000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47978023278996557 " "
Order of pole (three term test) = 22.021164972521685 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8100000000000629 " "
y[1] (analytic) = -3.4285047050933564 " "
y[1] (numeric) = -3.4285047050934145 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.6968238778827666000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.470194953682217 " "
Order of pole (three term test) = 22.02030999228892 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8000000000000629 " "
y[1] (analytic) = -3.428719987375456 " "
y[1] (numeric) = -3.4287199873755148 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7096693785449450000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4605927476069169 " "
Order of pole (three term test) = 22.019472280844617 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7900000000000629 " "
y[1] (analytic) = -3.4288955631999496 " "
y[1] (numeric) = -3.428895563200008 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7095818353097492000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4509739602424468 " "
Order of pole (three term test) = 22.01865186834632 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7800000000000629 " "
y[1] (analytic) = -3.429031420141664 " "
y[1] (numeric) = -3.429031420141722 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.6965632379056703000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4413389378641131 " "
Order of pole (three term test) = 22.017848784328763 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7700000000000629 " "
y[1] (analytic) = -3.4291275460428943 " "
y[1] (numeric) = -3.429127546042953 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7094661809197984000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43168802733168044 " "
Order of pole (three term test) = 22.017063057702906 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7600000000000628 " "
y[1] (analytic) = -3.429183929013518 " "
y[1] (numeric) = -3.429183929013577 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7094380737131112000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4220215760768868 " "
Order of pole (three term test) = 22.016294716754818 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7500000000000628 " "
y[1] (analytic) = -3.4292005574310966 " "
y[1] (numeric) = -3.4292005574311553 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7094297845361914000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41233993209093234 " "
Order of pole (three term test) = 22.015543789144683 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7400000000000628 " "
y[1] (analytic) = -3.429177419940983 " "
y[1] (numeric) = -3.429177419941041 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.6964910054539967000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40264344391195556 " "
Order of pole (three term test) = 22.01481030190582 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7300000000000628 " "
y[1] (analytic) = -3.4291145054564227 " "
y[1] (numeric) = -3.4291145054564804 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6835715806120022000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39293246061248294 " "
Order of pole (three term test) = 22.014094281443683 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7200000000000628 " "
y[1] (analytic) = -3.4290118031586534 " "
y[1] (numeric) = -3.4290118031587116 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.696572943749256000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38320733178686517 " "
Order of pole (three term test) = 22.01339575353493 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7100000000000628 " "
y[1] (analytic) = -3.4288693024970054 " "
y[1] (numeric) = -3.428869302497063 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6836919750328850000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37346840753868915 " "
Order of pole (three term test) = 22.012714743326512 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7000000000000628 " "
y[1] (analytic) = -3.4286869931889914 " "
y[1] (numeric) = -3.4286869931890487 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 1.6708293345078862000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3637160384681766 " "
Order of pole (three term test) = 22.012051275334702 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6900000000000628 " "
y[1] (analytic) = -3.4284648652204015 " "
y[1] (numeric) = -3.4284648652204597 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.6968435955261957000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35395057565956084 " "
Order of pole (three term test) = 22.011405373444276 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6800000000000628 " "
y[1] (analytic) = -3.428202908845397 " "
y[1] (numeric) = -3.428202908845455 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.6969732550034940000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3441723706684477 " "
Order of pole (three term test) = 22.010777060907646 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6700000000000628 " "
y[1] (analytic) = -3.427901114586591 " "
y[1] (numeric) = -3.427901114586649 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.684167522652433000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3343817755091608 " "
Order of pole (three term test) = 22.010166360343977 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6600000000000628 " "
y[1] (analytic) = -3.427559473235139 " "
y[1] (numeric) = -3.427559473235197 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6843353917362533000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3245791426420687 " "
Order of pole (three term test) = 22.00957329373845 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6500000000000627 " "
y[1] (analytic) = -3.42717797585082 " "
y[1] (numeric) = -3.427177975850878 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6845228840552373000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3147648249608961 " "
Order of pole (three term test) = 22.008997882441367 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6400000000000627 " "
y[1] (analytic) = -3.426756613762117 " "
y[1] (numeric) = -3.4267566137621746 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6847300169686290000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3049391757800195 " "
Order of pole (three term test) = 22.008440147167494 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6300000000000627 " "
y[1] (analytic) = -3.426295378566295 " "
y[1] (numeric) = -3.4262953785663526 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6849568090847278000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2951025488217481 " "
Order of pole (three term test) = 22.007900107995233 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6200000000000627 " "
y[1] (analytic) = -3.4257942621294766 " "
y[1] (numeric) = -3.4257942621295343 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.685203280264184200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28525529820359 " "
Order of pole (three term test) = 22.007377784365932 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6100000000000627 " "
y[1] (analytic) = -3.425253256586716 " "
y[1] (numeric) = -3.4252532565867737 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6854694516234983000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27539777842550456 " "
Order of pole (three term test) = 22.0068731950832 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6000000000000627 " "
y[1] (analytic) = -3.4246723543420683 " "
y[1] (numeric) = -3.4246723543421265 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.698722694350556000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2655303443571386 " "
Order of pole (three term test) = 22.00638635831219 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5900000000000627 " "
y[1] (analytic) = -3.4240515480686597 " "
y[1] (numeric) = -3.424051548068718 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.6990306855389567000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25565335122505295 " "
Order of pole (three term test) = 22.005917291578967 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5800000000000627 " "
y[1] (analytic) = -3.4233908307087524 " "
y[1] (numeric) = -3.42339083070881 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.68638639686243000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24576715459993365 " "
Order of pole (three term test) = 22.005466011769876 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5700000000000627 " "
y[1] (analytic) = -3.4226901954738067 " "
y[1] (numeric) = -3.4226901954738644 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6867316053568876000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23587211038379163 " "
Order of pole (three term test) = 22.005032535130965 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5600000000000627 " "
y[1] (analytic) = -3.4219496358445447 " "
y[1] (numeric) = -3.421949635844603 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7000743050386920000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22596857479714996 " "
Order of pole (three term test) = 22.004616877267328 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5500000000000627 " "
y[1] (analytic) = -3.421169145571009 " "
y[1] (numeric) = -3.4211691455710667 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6874815252922104000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21605690436622038 " "
Order of pole (three term test) = 22.00421905314261 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5400000000000627 " "
y[1] (analytic) = -3.4203487186726145 " "
y[1] (numeric) = -3.4203487186726726 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7008700362264614000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2061374559100675 " "
Order of pole (three term test) = 22.003839077078435 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5300000000000626 " "
y[1] (analytic) = -3.41948834943821 " "
y[1] (numeric) = -3.4194883494382675 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6883109805007201000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1962105865277646 " "
Order of pole (three term test) = 22.00347696275389 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5200000000000626 " "
y[1] (analytic) = -3.41858803242612 " "
y[1] (numeric) = -3.4185880324261784 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7017460407205542000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18627665358553747 " "
Order of pole (three term test) = 22.003132723205074 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5100000000000626 " "
y[1] (analytic) = -3.417647762464204 " "
y[1] (numeric) = -3.417647762464262 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7022142284321360000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17633601470389923 " "
Order of pole (three term test) = 22.002806370824548 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5000000000000626 " "
y[1] (analytic) = -3.4166675346498936 " "
y[1] (numeric) = -3.4166675346499518 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7027025866688392000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16638902774477582 " "
Order of pole (three term test) = 22.002497917360987 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4900000000000626 " "
y[1] (analytic) = -3.4156473443502438 " "
y[1] (numeric) = -3.4156473443503015 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6902095403965184000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1564360507986237 " "
Order of pole (three term test) = 22.002207373918665 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4800000000000626 " "
y[1] (analytic) = -3.4145871872019695 " "
y[1] (numeric) = -3.4145871872020273 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.690734314733237000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14647744217153785 " "
Order of pole (three term test) = 22.001934750957126 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4700000000000626 " "
y[1] (analytic) = -3.4134870591114885 " "
y[1] (numeric) = -3.4134870591115467 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.704289059338078000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1365135603723533 " "
Order of pole (three term test) = 22.001680058290763 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4600000000000626 " "
y[1] (analytic) = -3.4123469562549573 " "
y[1] (numeric) = -3.412346956255015 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6918442942820924000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12654476409973886 " "
Order of pole (three term test) = 22.001443305088472 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.45000000000006257 " "
y[1] (analytic) = -3.411166875078303 " "
y[1] (numeric) = -3.411166875078361 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7054482709534047000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11657141222928363 " "
Order of pole (three term test) = 22.001224499873363 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.44000000000006256 " "
y[1] (analytic) = -3.4099468122972594 " "
y[1] (numeric) = -3.409946812297317 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6930351251319000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10659386380057793 " "
Order of pole (three term test) = 22.001023650522388 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.43000000000006255 " "
y[1] (analytic) = -3.4086867648973933 " "
y[1] (numeric) = -3.408686764897451 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6936609686471427000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.6612478004287400E-2 " "
Order of pole (three term test) = 22.000840764266105 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.42000000000006255 " "
y[1] (analytic) = -3.4073867301341334 " "
y[1] (numeric) = -3.4073867301341916 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.707340290312984000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.66276141692229200E-2 " "
Order of pole (three term test) = 22.000675847688402 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.41000000000006254 " "
y[1] (analytic) = -3.4060467055327956 " "
y[1] (numeric) = -3.4060467055328534 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6949737414560026000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.6639631749404090E-2 " "
Order of pole (three term test) = 22.000528906726245 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.40000000000006253 " "
y[1] (analytic) = -3.4046666888886015 " "
y[1] (numeric) = -3.404666688888659 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6956607667035298000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.66488903111194200E-2 " "
Order of pole (three term test) = 22.000399946669514 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3900000000000625 " "
y[1] (analytic) = -3.403246678266703 " "
y[1] (numeric) = -3.4032466782667607 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6963682841207162000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.6655749519981500E-2 " "
Order of pole (three term test) = 22.00028897216074 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3800000000000625 " "
y[1] (analytic) = -3.4017866720021965 " "
y[1] (numeric) = -3.4017866720022547 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.710150932425096000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.666056912797974500E-2 " "
Order of pole (three term test) = 22.000195987195003 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3700000000000625 " "
y[1] (analytic) = -3.4002866687001405 " "
y[1] (numeric) = -3.4002866687001982 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.6978450026561362000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.66637089605287570E-2 " "
Order of pole (three term test) = 22.000120995119747 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3600000000000625 " "
y[1] (analytic) = -3.398746667235564 " "
y[1] (numeric) = -3.3987466672356224 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7116805748183790000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.666552890351483500E-2 " "
Order of pole (three term test) = 22.000063998634687 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3500000000000625 " "
y[1] (analytic) = -3.397166666753482 " "
y[1] (numeric) = -3.3971666667535403 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.71247666650262000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.666638889034023400E-2 " "
Order of pole (three term test) = 22.000024999791673 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3400000000000625 " "
y[1] (analytic) = -3.395546666668899 " "
y[1] (numeric) = -3.3955466666689573 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7132936814392172000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.666648888965567000E-3 " "
Order of pole (three term test) = 22.000003999994668 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.33000000000006247 " "
y[1] (analytic) = -3.393886666666816 " "
y[1] (numeric) = -3.3938866666668743 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7141316786365574000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.3333311110491100000E-3 " "
Order of pole (three term test) = 22.000000999999664 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.32000000000006246 " "
y[1] (analytic) = -3.3921866667022327 " "
y[1] (numeric) = -3.3921866667022913 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7280822507682456000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.333319111150378400E-2 " "
Order of pole (three term test) = 22.000015999914666 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.31000000000006245 " "
y[1] (analytic) = -3.3904466670001496 " "
y[1] (numeric) = -3.390446667000208 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7158708631695352000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.33325711185184200E-2 " "
Order of pole (three term test) = 22.000048999199674 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.30000000000006244 " "
y[1] (analytic) = -3.388666668055562 " "
y[1] (numeric) = -3.388666668055621 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7298773069894377000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.33311111554927430E-2 " "
Order of pole (three term test) = 22.00009999666671 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.29000000000006243 " "
y[1] (analytic) = -3.3868466706334615 " "
y[1] (numeric) = -3.38684667063352 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7308068950533350000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.33284512760651900E-2 " "
Order of pole (three term test) = 22.00016899047988 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2800000000000624 " "
y[1] (analytic) = -3.384986675768823 " "
y[1] (numeric) = -3.384986675768882 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7317579451592408000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.33242315770711100E-2 " "
Order of pole (three term test) = 22.000255978155412 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2700000000000624 " "
y[1] (analytic) = -3.3830866847666 " "
y[1] (numeric) = -3.3830866847666585 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7327305257699144000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.33180922114993800E-2 " "
Order of pole (three term test) = 22.000360956561764 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2600000000000624 " "
y[1] (analytic) = -3.3811466992017096 " "
y[1] (numeric) = -3.3811466992017682 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7337247068885955000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.33096734014463200E-2 " "
Order of pole (three term test) = 22.000483921919702 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2500000000000624 " "
y[1] (analytic) = -3.3791667209190215 " "
y[1] (numeric) = -3.3791667209190797 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7215985861312090000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.32986154510682500E-2 " "
Order of pole (three term test) = 22.000624869802518 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.24000000000006239 " "
y[1] (analytic) = -3.3771467520333376 " "
y[1] (numeric) = -3.3771467520333958 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7226283239048273000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.32845587595301500E-2 " "
Order of pole (three term test) = 22.00078379513608 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.23000000000006238 " "
y[1] (analytic) = -3.3750867949293766 " "
y[1] (numeric) = -3.3750867949294348 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7236797162597273000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1032671438339515 " "
Order of pole (three term test) = 22.00096069219911 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.22000000000006237 " "
y[1] (analytic) = -3.372986852261751 " "
y[1] (numeric) = -3.3729868522618087 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.711586786702009000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11324601130234765 " "
Order of pole (three term test) = 22.00115555462332 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.21000000000006236 " "
y[1] (analytic) = -3.3708469269549415 " "
y[1] (numeric) = -3.370846926954999 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.7126733586997986000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12322080192656754 " "
Order of pole (three term test) = 22.001368375393685 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.20000000000006235 " "
y[1] (analytic) = -3.3686670222032737 " "
y[1] (numeric) = -3.368667022203332 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7269645859004626000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13319115661522568 " "
Order of pole (three term test) = 22.001599146848687 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.19000000000006234 " "
y[1] (analytic) = -3.3664471414708883 " "
y[1] (numeric) = -3.3664471414709465 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.728103369683082000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14315671643663047 " "
Order of pole (three term test) = 22.00184786068058 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.18000000000006233 " "
y[1] (analytic) = -3.364187288491709 " "
y[1] (numeric) = -3.364187288491767 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7292642026609803000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15311712263170432 " "
Order of pole (three term test) = 22.002114507935683 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.17000000000006232 " "
y[1] (analytic) = -3.3618874672694097 " "
y[1] (numeric) = -3.361887467269468 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7304471686439174000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16307201662690027 " "
Order of pole (three term test) = 22.00239907901473 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.16000000000006231 " "
y[1] (analytic) = -3.3595476820773778 " "
y[1] (numeric) = -3.359547682077436 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7316523531044287000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17302104004710925 " "
Order of pole (three term test) = 22.00270156367319 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1500000000000623 " "
y[1] (analytic) = -3.3571679374586765 " "
y[1] (numeric) = -3.3571679374587347 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7328798431929587000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1829638347285627 " "
Order of pole (three term test) = 22.003021951021648 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1400000000000623 " "
y[1] (analytic) = -3.354748238226004 " "
y[1] (numeric) = -3.3547482382260623 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7341297277533288000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19290004273172626 " "
Order of pole (three term test) = 22.003360229526194 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1300000000000623 " "
y[1] (analytic) = -3.3522885894616503 " "
y[1] (numeric) = -3.352288589461708 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.7221547530840522000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20282930635418456 " "
Order of pole (three term test) = 22.00371638700885 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.12000000000006229 " "
y[1] (analytic) = -3.3497889965174488 " "
y[1] (numeric) = -3.349788996517507 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7366970442269520000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2127512681435197 " "
Order of pole (three term test) = 22.004090410647972 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1100000000000623 " "
y[1] (analytic) = -3.3472494650147326 " "
y[1] (numeric) = -3.3472494650147913 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7512819499382684000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2226655709101785 " "
Order of pole (three term test) = 22.004482286978746 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1000000000000623 " "
y[1] (analytic) = -3.344670000844282 " "
y[1] (numeric) = -3.34467000084434 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7393550477527872000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2325718577403324 " "
Order of pole (three term test) = 22.004892001893676 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -9.00000000000623100E-2 " "
y[1] (analytic) = -3.3420506101662673 " "
y[1] (numeric) = -3.342050610166326 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.754006223660746200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24246977200872571 " "
Order of pole (three term test) = 22.005319540643075 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -8.00000000000623100E-2 " "
y[1] (analytic) = -3.339391299410202 " "
y[1] (numeric) = -3.33939129941026 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7421045117004738000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25235895739151304 " "
Order of pole (three term test) = 22.00576488783557 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -7.00000000000623200E-2 " "
y[1] (analytic) = -3.3366920752748768 " "
y[1] (numeric) = -3.336692075274935 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.7435137908422577000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2622390578790893 " "
Order of pole (three term test) = 22.006228027438738 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -6.000000000006231000E-2 " "
y[1] (analytic) = -3.3339529447283036 " "
y[1] (numeric) = -3.3339529447283622 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7582664384300542000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2721097177889033 " "
Order of pole (three term test) = 22.006708942779586 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -5.000000000006232000E-2 " "
y[1] (analytic) = -3.3311739150076525 " "
y[1] (numeric) = -3.331173915007711 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7597332710884175000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28197058177826534 " "
Order of pole (three term test) = 22.007207616545212 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.00000000000623130E-2 " "
y[1] (analytic) = -3.328354993619185 " "
y[1] (numeric) = -3.328354993619244 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7612236619167332000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.291821294857136 " "
Order of pole (three term test) = 22.007724030783432 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.00000000000623100E-2 " "
y[1] (analytic) = -3.325496188338188 " "
y[1] (numeric) = -3.3254961883382466 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.762737720337056000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.301661502400908 " "
Order of pole (three term test) = 22.008258166903374 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.000000000006230700E-2 " "
y[1] (analytic) = -3.322597507208903 " "
y[1] (numeric) = -3.3225975072089615 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.7642755576931410000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31149085016317357 " "
Order of pole (three term test) = 22.008810005676203 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.000000000006230800E-2 " "
y[1] (analytic) = -3.319658958544453 " "
y[1] (numeric) = -3.319658958544512 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7792148424775425000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32130898428847376 " "
Order of pole (three term test) = 22.009379527235772 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -6.23077978101349600000000000000E-14 " "
y[1] (analytic) = -3.316680550926771 " "
y[1] (numeric) = -3.3166805509268302 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7808125926856075000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.331115551325041 " "
Order of pole (three term test) = 22.00996671107937 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.999999999937692000E-3 " "
y[1] (analytic) = -3.3136622932065185 " "
y[1] (numeric) = -3.3136622932065776 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7824346503609526000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3409101982375209 " "
Order of pole (three term test) = 22.010571536068465 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.999999999993769300E-2 " "
y[1] (analytic) = -3.3106041945030076 " "
y[1] (numeric) = -3.3106041945030666 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7840811356467537000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35069257241968255 " "
Order of pole (three term test) = 22.01119398042938 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.999999999993769300E-2 " "
y[1] (analytic) = -3.3075062642041195 " "
y[1] (numeric) = -3.307506264204179 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.7991788787806787000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3604623217071119 " "
Order of pole (three term test) = 22.011834021754225 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.999999999993769700E-2 " "
y[1] (analytic) = -3.3043685119662207 " "
y[1] (numeric) = -3.30436851196628 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7874478798647420000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3702190943898897 " "
Order of pole (three term test) = 22.01249163700156 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.9999999999937700E-2 " "
y[1] (analytic) = -3.301190947714073 " "
y[1] (numeric) = -3.301190947714132 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.789168389394664200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37996253922525364 " "
Order of pole (three term test) = 22.013166802497313 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.9999999999937700E-2 " "
y[1] (analytic) = -3.2979735816407474 " "
y[1] (numeric) = -3.2979735816408065 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.7909138277776607000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38969230545024064 " "
Order of pole (three term test) = 22.013859493935595 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.9999999999937690E-2 " "
y[1] (analytic) = -3.2947164242075297 " "
y[1] (numeric) = -3.2947164242075893 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.80616315512561000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3994080427943183 " "
Order of pole (three term test) = 22.01456968637959 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.99999999999376900E-2 " "
y[1] (analytic) = -3.2914194861438304 " "
y[1] (numeric) = -3.29141948614389 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.8079723465946562000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4091094014919914 " "
Order of pole (three term test) = 22.015297354262454 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.99999999999376900E-2 " "
y[1] (analytic) = -3.2880827784470825 " "
y[1] (numeric) = -3.2880827784471425 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.823313078452149000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4187960322953944 " "
Order of pole (three term test) = 22.016042471388214 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.99999999999376800E-2 " "
y[1] (analytic) = -3.284706312382648 " "
y[1] (numeric) = -3.2847063123827076 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.8116674204806680000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4284675864868649 " "
Order of pole (three term test) = 22.01680501093274 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10999999999993768 " "
y[1] (analytic) = -3.281290099483712 " "
y[1] (numeric) = -3.2812900994837717 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.8135535815401250000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4381237158914964 " "
Order of pole (three term test) = 22.017584945444685 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11999999999993767 " "
y[1] (analytic) = -3.2778341515511817 " "
y[1] (numeric) = -3.2778341515512417 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.829013932916256000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4477640728896724 " "
Order of pole (three term test) = 22.018382246846492 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12999999999993767 " "
y[1] (analytic) = -3.27433848065358 " "
y[1] (numeric) = -3.2743384806536397 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.830966581005139000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4573883104295837 " "
Order of pole (three term test) = 22.019196886435395 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13999999999993767 " "
y[1] (analytic) = -3.2708030991269355 " "
y[1] (numeric) = -3.270803099126995 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.8193682810130837000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46699608203971754 " "
Order of pole (three term test) = 22.020028834884474 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14999999999993768 " "
y[1] (analytic) = -3.267228019574672 " "
y[1] (numeric) = -3.2672280195747314 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.821359077584525000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47658704184133255 " "
Order of pole (three term test) = 22.020878062243643 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1599999999999377 " "
y[1] (analytic) = -3.263613254867496 " "
y[1] (numeric) = -3.263613254867556 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.8369836940802758000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48616084456091346 " "
Order of pole (three term test) = 22.021744537940837 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1699999999999377 " "
y[1] (analytic) = -3.259958818143281 " "
y[1] (numeric) = -3.2599588181433403 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.8254204252126513000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4957171455425949 " "
Order of pole (three term test) = 22.02262823078301 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1799999999999377 " "
y[1] (analytic) = -3.2562647228069457 " "
y[1] (numeric) = -3.2562647228070056 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.8411292825750036000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5052556007605746 " "
Order of pole (three term test) = 22.02352910895732 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18999999999993772 " "
y[1] (analytic) = -3.252530982530339 " "
y[1] (numeric) = -3.2525309825303994 " "
absolute error = 6.03961325396085200000000000000E-14 " "
relative error = 1.8568964558370704000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5147758668314946 " "
Order of pole (three term test) = 22.024447140032247 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.19999999999993773 " "
y[1] (analytic) = -3.2487576112521133 " "
y[1] (numeric) = -3.2487576112521737 " "
absolute error = 6.03961325396085200000000000000E-14 " "
relative error = 1.8590532063834417000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5242776010268039 " "
Order of pole (three term test) = 22.025382290958774 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.20999999999993774 " "
y[1] (analytic) = -3.244944623177599 " "
y[1] (numeric) = -3.244944623177659 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.847552124666172200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5337604612850982 " "
Order of pole (three term test) = 22.02633452807157 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.21999999999993775 " "
y[1] (analytic) = -3.2410920327786776 " "
y[1] (numeric) = -3.2410920327787376 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.849748255323682000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5432241062244324 " "
Order of pole (three term test) = 22.027303817090193 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22999999999993775 " "
y[1] (analytic) = -3.237199854793652 " "
y[1] (numeric) = -3.2371998547937118 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.851972260562824200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.552668195154611 " "
Order of pole (three term test) = 22.028290123120357 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23999999999993776 " "
y[1] (analytic) = -3.2332681042271125 " "
y[1] (numeric) = -3.2332681042271725 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.854224314135234000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5620923880894518 " "
Order of pole (three term test) = 22.02929341065514 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24999999999993777 " "
y[1] (analytic) = -3.2292967963498036 " "
y[1] (numeric) = -3.229296796349863 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.8427527066317498000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.571496345759027 " "
Order of pole (three term test) = 22.030313643576307 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2599999999999378 " "
y[1] (analytic) = -3.225285946698483 " "
y[1] (numeric) = -3.225285946698543 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.8588132748703254000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5808797296218765 " "
Order of pole (three term test) = 22.031350785155574 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2699999999999378 " "
y[1] (analytic) = -3.2212355710757867 " "
y[1] (numeric) = -3.221235571075847 " "
absolute error = 6.03961325396085200000000000000E-14 " "
relative error = 1.8749368435490793000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5902422018771952 " "
Order of pole (three term test) = 22.032404798055968 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2799999999999378 " "
y[1] (analytic) = -3.2171456855500837 " "
y[1] (numeric) = -3.2171456855501437 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.8635165823865246000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5995834254769916 " "
Order of pole (three term test) = 22.033475644333127 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2899999999999378 " "
y[1] (analytic) = -3.2130163064553305 " "
y[1] (numeric) = -3.2130163064553905 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.8659115800099646000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6089030641382267 " "
Order of pole (three term test) = 22.034563285436708 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2999999999999378 " "
y[1] (analytic) = -3.2088474503909272 " "
y[1] (numeric) = -3.208847450390987 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.8683357266626877000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6182007823549134 " "
Order of pole (three term test) = 22.035667682211738 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3099999999999378 " "
y[1] (analytic) = -3.204639134221565 " "
y[1] (numeric) = -3.204639134221625 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.8707892158447767000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6274762454102011 " "
Order of pole (three term test) = 22.036788794900062 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31999999999993783 " "
y[1] (analytic) = -3.2003913750770776 " "
y[1] (numeric) = -3.2003913750771376 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.8732722440334218000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6367291193884219 " "
Order of pole (three term test) = 22.03792658314175 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.32999999999993784 " "
y[1] (analytic) = -3.1961041903522838 " "
y[1] (numeric) = -3.1961041903523433 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.8618903069411283000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.645959071187111 " "
Order of pole (three term test) = 22.03908100597654 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.33999999999993785 " "
y[1] (analytic) = -3.1917775977068326 " "
y[1] (numeric) = -3.191777597706892 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.8644141798182473000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6551657685290004 " "
Order of pole (three term test) = 22.040252021845333 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.34999999999993786 " "
y[1] (analytic) = -3.1874116150650442 " "
y[1] (numeric) = -3.1874116150651037 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.8669679761047753000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6643488799739815 " "
Order of pole (three term test) = 22.041439588591693 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.35999999999993787 " "
y[1] (analytic) = -3.1830062606157496 " "
y[1] (numeric) = -3.1830062606158087 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.8556000231879052000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6735080749310325 " "
Order of pole (three term test) = 22.042643663463334 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3699999999999379 " "
y[1] (analytic) = -3.178561552812124 " "
y[1] (numeric) = -3.1785615528121833 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.8721661711178994000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6826430236701245 " "
Order of pole (three term test) = 22.043864203113692 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3799999999999379 " "
y[1] (analytic) = -3.174077510371524 " "
y[1] (numeric) = -3.1740775103715837 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.8748109939175053000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6917533973340906 " "
Order of pole (three term test) = 22.045101163603476 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3899999999999379 " "
y[1] (analytic) = -3.1695541522753183 " "
y[1] (numeric) = -3.1695541522753774 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.863475494421142000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7008388679504611 " "
Order of pole (three term test) = 22.046354500402252 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3999999999999379 " "
y[1] (analytic) = -3.1649914977687135 " "
y[1] (numeric) = -3.164991497768773 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.8801931746692174000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7098991084432765 " "
Order of pole (three term test) = 22.04762416839001 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4099999999999379 " "
y[1] (analytic) = -3.1603895663605868 " "
y[1] (numeric) = -3.1603895663606463 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.8829309763997235000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7189337926448568 " "
Order of pole (three term test) = 22.048910121858853 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4199999999999379 " "
y[1] (analytic) = -3.1557483778233055 " "
y[1] (numeric) = -3.155748377823365 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.8857002205275417000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7279425953075459 " "
Order of pole (three term test) = 22.050212314514592 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42999999999993793 " "
y[1] (analytic) = -3.1510679521925518 " "
y[1] (numeric) = -3.1510679521926113 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.888501137479502000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7369251921154228 " "
Order of pole (three term test) = 22.051530699478427 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.43999999999993794 " "
y[1] (analytic) = -3.146348309767141 " "
y[1] (numeric) = -3.1463483097672005 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.891333961188567000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7458812596959712 " "
Order of pole (three term test) = 22.05286522928865 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.44999999999993795 " "
y[1] (analytic) = -3.14158947110884 " "
y[1] (numeric) = -3.141589471108899 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.880063116241964800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7548104756317254 " "
Order of pole (three term test) = 22.05421585590233 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.45999999999993796 " "
y[1] (analytic) = -3.13679145704218 " "
y[1] (numeric) = -3.1367914570422393 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.882938847511153000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.763712518471876 " "
Order of pole (three term test) = 22.05558253069704 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.46999999999993797 " "
y[1] (analytic) = -3.1319542886542724 " "
y[1] (numeric) = -3.131954288654332 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.9000262658838984000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7725870677438431 " "
Order of pole (three term test) = 22.05696520447267 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.479999999999938 " "
y[1] (analytic) = -3.1270779872946166 " "
y[1] (numeric) = -3.127077987294676 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.9029891279235908000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7814338039648102 " "
Order of pole (three term test) = 22.058363827453075 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.489999999999938 " "
y[1] (analytic) = -3.1221625745749084 " "
y[1] (numeric) = -3.1221625745749684 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.920208890400946000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7902524086532298 " "
Order of pole (three term test) = 22.059778349287996 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.499999999999938 " "
y[1] (analytic) = -3.1172080723688467 " "
y[1] (numeric) = -3.1172080723689066 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.9232608776160187000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7990425643402839 " "
Order of pole (three term test) = 22.061208719054807 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.509999999999938 " "
y[1] (analytic) = -3.112214502811934 " "
y[1] (numeric) = -3.112214502811994 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.92634676291081030000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8078039545813189 " "
Order of pole (three term test) = 22.062654885260336 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.519999999999938 " "
y[1] (analytic) = -3.10718188830128 " "
y[1] (numeric) = -3.10718188830134 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.9294668122095254000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8165362639672321 " "
Order of pole (three term test) = 22.064116795842764 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.529999999999938 " "
y[1] (analytic) = -3.102110251495398 " "
y[1] (numeric) = -3.1021102514954575 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.9183055821830344000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8252391781358277 " "
Order of pole (three term test) = 22.065594398173467 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.539999999999938 " "
y[1] (analytic) = -3.096999615314002 " "
y[1] (numeric) = -3.0969996153140613 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.9214711498720977000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8339123837831364 " "
Order of pole (three term test) = 22.06708763905892 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.549999999999938 " "
y[1] (analytic) = -3.0918500029377998 " "
y[1] (numeric) = -3.0918500029378597 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.9390346644498763000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8425555686746915 " "
Order of pole (three term test) = 22.06859646474261 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.559999999999938 " "
y[1] (analytic) = -3.086661437808286 " "
y[1] (numeric) = -3.086661437808346 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.9422941108930944000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8511684216567698 " "
Order of pole (three term test) = 22.07012082090698 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.569999999999938 " "
y[1] (analytic) = -3.081433943627529 " "
y[1] (numeric) = -3.0814339436275886 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.9311773417363728000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8597506326675947 " "
Order of pole (three term test) = 22.07166065267537 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.579999999999938 " "
y[1] (analytic) = -3.0761675443579577 " "
y[1] (numeric) = -3.0761675443580176 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 1.948919961778979000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8683018927484969 " "
Order of pole (three term test) = 22.073215904614 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.589999999999938 " "
y[1] (analytic) = -3.0708622642221486 " "
y[1] (numeric) = -3.070862264222208 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.9378255681871748000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8768218940550359 " "
Order of pole (three term test) = 22.074786520733976 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.599999999999938 " "
y[1] (analytic) = -3.065518127702603 " "
y[1] (numeric) = -3.0655181277026626 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.9412037913638286000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.885310329868086 " "
Order of pole (three term test) = 22.076372444493277 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.609999999999938 " "
y[1] (analytic) = -3.0601351595415323 " "
y[1] (numeric) = -3.0601351595415918 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.9446184896233093000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8937668946048746 " "
Order of pole (three term test) = 22.077973618798836 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.619999999999938 " "
y[1] (analytic) = -3.0547133847406305 " "
y[1] (numeric) = -3.05471338474069 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.9480699700722034000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9021912838299835 " "
Order of pole (three term test) = 22.079589986008525 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.629999999999938 " "
y[1] (analytic) = -3.0492528285608524 " "
y[1] (numeric) = -3.0492528285609115 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.9369946747883984000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.910583194266312 " "
Order of pole (three term test) = 22.081221487933323 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6399999999999381 " "
y[1] (analytic) = -3.043753516522184 " "
y[1] (numeric) = -3.043753516522243 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.940494346518083000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9189423238059897 " "
Order of pole (three term test) = 22.082868065839325 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6499999999999381 " "
y[1] (analytic) = -3.0382154744034144 " "
y[1] (numeric) = -3.0382154744034735 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.944031468724454000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.927268371521255 " "
Order of pole (three term test) = 22.08452966044991 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6599999999999381 " "
y[1] (analytic) = -3.032638728241903 " "
y[1] (numeric) = -3.0326387282419622 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.947606365374722000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.935561037675291 " "
Order of pole (three term test) = 22.08620621194784 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6699999999999381 " "
y[1] (analytic) = -3.0270233043333463 " "
y[1] (numeric) = -3.0270233043334054 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.9512193654242846000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9438200237330117 " "
Order of pole (three term test) = 22.087897659977457 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6799999999999381 " "
y[1] (analytic) = -3.0213692292315386 " "
y[1] (numeric) = -3.0213692292315977 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.9548708029002057000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9520450323718085 " "
Order of pole (three term test) = 22.089603943646804 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6899999999999381 " "
y[1] (analytic) = -3.015676529748136 " "
y[1] (numeric) = -3.015676529748195 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.9585610169865014000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9602357674922626 " "
Order of pole (three term test) = 22.09132500152986 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6999999999999381 " "
y[1] (analytic) = -3.0099452329524135 " "
y[1] (numeric) = -3.009945232952473 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.9770444149091002000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9683919342287918 " "
Order of pole (three term test) = 22.093060771668725 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7099999999999381 " "
y[1] (analytic) = -3.0041753661710224 " "
y[1] (numeric) = -3.0041753661710815 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.966059158035714000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9765132389602748 " "
Order of pole (three term test) = 22.094811191575854 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7199999999999381 " "
y[1] (analytic) = -2.9983669569877422 " "
y[1] (numeric) = -2.9983669569878013 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.9698677899450917000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9845993893206192 " "
Order of pole (three term test) = 22.096576198236335 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7299999999999381 " "
y[1] (analytic) = -2.9925200332432356 " "
y[1] (numeric) = -2.992520033243294 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.958876634041353000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9926500942092833 " "
Order of pole (three term test) = 22.098355728110104 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7399999999999382 " "
y[1] (analytic) = -2.986634623034794 " "
y[1] (numeric) = -2.986634623034853 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.977605980139682000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0006650638017627 " "
Order of pole (three term test) = 22.100149717134283 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7499999999999382 " "
y[1] (analytic) = -2.980710754716089 " "
y[1] (numeric) = -2.980710754716148 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.9815362767624237000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0086440095600178 " "
Order of pole (three term test) = 22.101958100725465 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7599999999999382 " "
y[1] (analytic) = -2.974748456896914 " "
y[1] (numeric) = -2.9747484568969726 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.9705792455929882000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0165866442428597 " "
Order of pole (three term test) = 22.103780813782024 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7699999999999382 " "
y[1] (analytic) = -2.9687477584429267 " "
y[1] (numeric) = -2.9687477584429858 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 1.989521162317833000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0244926819163027 " "
Order of pole (three term test) = 22.1056177906865 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7799999999999382 " "
y[1] (analytic) = -2.962708688475393 " "
y[1] (numeric) = -2.9627086884754514 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.9785872275675526000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0323618379638397 " "
Order of pole (three term test) = 22.10746896530792 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7899999999999382 " "
y[1] (analytic) = -2.956631276370919 " "
y[1] (numeric) = -2.9566312763709774 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.9826542514344364000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.040193829096706 " "
Order of pole (three term test) = 22.109334271004197 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7999999999999382 " "
y[1] (analytic) = -2.950515551761192 " "
y[1] (numeric) = -2.9505155517612507 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.9867638272646126000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0479883733640663 " "
Order of pole (three term test) = 22.111213640624527 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8099999999999382 " "
y[1] (analytic) = -2.944361544532711 " "
y[1] (numeric) = -2.9443615445327698 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.9909163604265043000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0557451901631676 " "
Order of pole (three term test) = 22.113107006511807 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8199999999999382 " "
y[1] (analytic) = -2.938169284826519 " "
y[1] (numeric) = -2.9381692848265777 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.995112262691474000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0634640002494427 " "
Order of pole (three term test) = 22.11501430050506 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8299999999999382 " "
y[1] (analytic) = -2.93193880303793 " "
y[1] (numeric) = -2.9319388030379887 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.9993519523487105000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0711445257465633 " "
Order of pole (three term test) = 22.11693545394192 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8399999999999382 " "
y[1] (analytic) = -2.9256701298162575 " "
y[1] (numeric) = -2.925670129816316 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 2.0036358543227084000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0787864901564403 " "
Order of pole (three term test) = 22.118870397661063 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8499999999999382 " "
y[1] (analytic) = -2.919363296064537 " "
y[1] (numeric) = -2.919363296064595 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.9927525487760375000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0863896183691812 " "
Order of pole (three term test) = 22.120819062004728 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8599999999999383 " "
y[1] (analytic) = -2.9130183329392487 " "
y[1] (numeric) = -2.913018332939307 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 1.9970930437522740000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0939536366729898 " "
Order of pole (three term test) = 22.122781376821216 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8699999999999383 " "
y[1] (analytic) = -2.9066352718500372 " "
y[1] (numeric) = -2.906635271850096 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 2.0167571854619898000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1014782727640249 " "
Order of pole (three term test) = 22.124757271467402 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8799999999999383 " "
y[1] (analytic) = -2.9002141444594294 " "
y[1] (numeric) = -2.9002141444594876 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 2.0059100325918025000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1089632557562017 " "
Order of pole (three term test) = 22.126746674811283 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8899999999999383 " "
y[1] (analytic) = -2.893754982682547 " "
y[1] (numeric) = -2.893754982682605 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 2.0103874321947127000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1164083161909373 " "
Order of pole (three term test) = 22.12874951523456 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8999999999999383 " "
y[1] (analytic) = -2.887257818686822 " "
y[1] (numeric) = -2.88725781868688 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 2.0149113845613406000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1238131860468625 " "
Order of pole (three term test) = 22.130765720635193 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9099999999999383 " "
y[1] (analytic) = -2.8807226848917065 " "
y[1] (numeric) = -2.880722684891764 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 2.00406646510226000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1311775987494619 " "
Order of pole (three term test) = 22.132795218430008 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9199999999999383 " "
y[1] (analytic) = -2.8741496139683793 " "
y[1] (numeric) = -2.8741496139684375 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 2.024100840388548800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1385012891806734 " "
Order of pole (three term test) = 22.134837935557297 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9299999999999383 " "
y[1] (analytic) = -2.867538638839455 " "
y[1] (numeric) = -2.867538638839513 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 2.0287673094407876000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.145783993688432 " "
Order of pole (three term test) = 22.136893798479473 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9399999999999383 " "
y[1] (analytic) = -2.860889792678684 " "
y[1] (numeric) = -2.8608897926787424 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 2.0490050280937908000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.153025450096163 " "
Order of pole (three term test) = 22.138962733185686 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9499999999999383 " "
y[1] (analytic) = -2.854203108910657 " "
y[1] (numeric) = -2.8542031089107156 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 2.0538053342174814000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1602253977122177 " "
Order of pole (three term test) = 22.14104466519452 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9599999999999383 " "
y[1] (analytic) = -2.847478621210503 " "
y[1] (numeric) = -2.847478621210562 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 2.0586555159205436000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.167383577339257 " "
Order of pole (three term test) = 22.14313951955663 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9699999999999384 " "
y[1] (analytic) = -2.840716363503586 " "
y[1] (numeric) = -2.8407163635036445 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 2.063556096389356200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1744997312835908 " "
Order of pole (three term test) = 22.1452472208575 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9799999999999384 " "
y[1] (analytic) = -2.8339163699651992 " "
y[1] (numeric) = -2.8339163699652574 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 2.052837095227076000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1815736033644442 " "
Order of pole (three term test) = 22.1473676932201 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9899999999999384 " "
y[1] (analytic) = -2.8270786750202586 " "
y[1] (numeric) = -2.8270786750203167 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 2.057802175949041000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1886049389231852 " "
Order of pole (three term test) = 22.149500860307665 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9999999999999384 " "
y[1] (analytic) = -2.820203313342993 " "
y[1] (numeric) = -2.8202033133430513 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 2.0628188831321634000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1955934848324952 " "
Order of pole (three term test) = 22.15164664532641 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0099999999999383 " "
y[1] (analytic) = -2.8132903198566312 " "
y[1] (numeric) = -2.8132903198566894 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 2.067887771117874200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2025389895054748 " "
Order of pole (three term test) = 22.153804971028293 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0199999999999383 " "
y[1] (analytic) = -2.806339729733088 " "
y[1] (numeric) = -2.8063397297331463 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 2.0730094034584795000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2094412029047057 " "
Order of pole (three term test) = 22.15597575971383 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0299999999999383 " "
y[1] (analytic) = -2.799351578392648 " "
y[1] (numeric) = -2.7993515783927063 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 2.0781843530980107000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2162998765512525 " "
Order of pole (three term test) = 22.158158933234862 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0399999999999383 " "
y[1] (analytic) = -2.792325901503647 " "
y[1] (numeric) = -2.792325901503705 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 2.0834132025574462000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.223114763533603 " "
Order of pole (three term test) = 22.160354412997382 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0499999999999383 " "
y[1] (analytic) = -2.7852627349821497 " "
y[1] (numeric) = -2.7852627349822074 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 2.072752295696016000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2298856185165632 " "
Order of pole (three term test) = 22.162562119964353 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0599999999999383 " "
y[1] (analytic) = -2.778162114991628 " "
y[1] (numeric) = -2.778162114991685 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.0620649803523333000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2366121977500837 " "
Order of pole (three term test) = 22.16478197465856 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0699999999999383 " "
y[1] (analytic) = -2.7710240779426334 " "
y[1] (numeric) = -2.7710240779426907 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.0673767697172665000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2432942590780391 " "
Order of pole (three term test) = 22.167013897165475 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0799999999999383 " "
y[1] (analytic) = -2.7638486604924726 " "
y[1] (numeric) = -2.7638486604925303 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 2.088811811795126000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2499315619469433 " "
Order of pole (three term test) = 22.16925780713613 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0899999999999384 " "
y[1] (analytic) = -2.756635899544875 " "
y[1] (numeric) = -2.756635899544933 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 2.0942772054169256000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.25652386741461 " "
Order of pole (three term test) = 22.171513623790013 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0999999999999384 " "
y[1] (analytic) = -2.7493858322496623 " "
y[1] (numeric) = -2.7493858322497196 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.0836474604142063000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2630709381587548 " "
Order of pole (three term test) = 22.173781265917967 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1099999999999384 " "
y[1] (analytic) = -2.74209849600241 " "
y[1] (numeric) = -2.7420984960024675 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.089184912729252000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.269572538485536 " "
Order of pole (three term test) = 22.176060651885102 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1199999999999384 " "
y[1] (analytic) = -2.7347739284441177 " "
y[1] (numeric) = -2.734773928444175 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.0947803939044568000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2760284343380477 " "
Order of pole (three term test) = 22.178351699633797 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1299999999999384 " "
y[1] (analytic) = -2.727412167460864 " "
y[1] (numeric) = -2.7274121674609217 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 2.1167170099653276000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2824383933047323 " "
Order of pole (three term test) = 22.180654326686554 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1399999999999384 " "
y[1] (analytic) = -2.7200132511834703 " "
y[1] (numeric) = -2.7200132511835275 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.1061481243053665000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2888021846277615 " "
Order of pole (three term test) = 22.18296845014907 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1499999999999384 " "
y[1] (analytic) = -2.7125772179871532 " "
y[1] (numeric) = -2.7125772179872105 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.1119217433068257000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.295119579211334 " "
Order of pole (three term test) = 22.185293986713134 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1599999999999384 " "
y[1] (analytic) = -2.7051041064911834 " "
y[1] (numeric) = -2.7051041064912402 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.1013394170082483000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3013903496299288 " "
Order of pole (three term test) = 22.1876308526597 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1699999999999384 " "
y[1] (analytic) = -2.697593955558534 " "
y[1] (numeric) = -2.6975939555585913 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.123652003023441000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.307614270136486 " "
Order of pole (three term test) = 22.189978963861822 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1799999999999384 " "
y[1] (analytic) = -2.6900468042955348 " "
y[1] (numeric) = -2.6900468042955925 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 2.146118691627256000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3137911166705414 " "
Order of pole (three term test) = 22.192338235787766 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1899999999999384 " "
y[1] (analytic) = -2.682462692051519 " "
y[1] (numeric) = -2.6824626920515757 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.1190758413618335000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3199206668662848 " "
Order of pole (three term test) = 22.194708583504003 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1999999999999384 " "
y[1] (analytic) = -2.6748416584184644 " "
y[1] (numeric) = -2.6748416584185217 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.141715861585992700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3260027000605725 " "
Order of pole (three term test) = 22.197089921678252 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2099999999999385 " "
y[1] (analytic) = -2.667183743230646 " "
y[1] (numeric) = -2.6671837432307033 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.1478650736401145000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3320369973008668 " "
Order of pole (three term test) = 22.199482164582616 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2199999999999385 " "
y[1] (analytic) = -2.6594889865642695 " "
y[1] (numeric) = -2.6594889865643268 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.154079537838825300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3380233413531173 " "
Order of pole (three term test) = 22.201885226096593 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2299999999999385 " "
y[1] (analytic) = -2.6517574287371146 " "
y[1] (numeric) = -2.651757428737172 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.160360048390283800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3439615167095857 " "
Order of pole (three term test) = 22.204299019710227 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2399999999999385 " "
y[1] (analytic) = -2.643989110308172 " "
y[1] (numeric) = -2.6439891103082287 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.1499112322055894000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3498513095966018 " "
Order of pole (three term test) = 22.206723458527232 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2499999999999385 " "
y[1] (analytic) = -2.6361840720772753 " "
y[1] (numeric) = -2.6361840720773326 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.173122456715109000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3556925079822535 " "
Order of pole (three term test) = 22.20915845526804 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2599999999999385 " "
y[1] (analytic) = -2.6283423550847402 " "
y[1] (numeric) = -2.628342355084797 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.162709844508644000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.361484901584035 " "
Order of pole (three term test) = 22.21160392227306 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2699999999999385 " "
y[1] (analytic) = -2.6204640006109865 " "
y[1] (numeric) = -2.620464000611044 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.1861589419774874000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3672282818763968 " "
Order of pole (three term test) = 22.21405977150572 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2799999999999385 " "
y[1] (analytic) = -2.6125490501761752 " "
y[1] (numeric) = -2.612549050176232 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.17578379464205000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3729224420982746 " "
Order of pole (three term test) = 22.21652591455574 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2899999999999385 " "
y[1] (analytic) = -2.6045975455398276 " "
y[1] (numeric) = -2.6045975455398844 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.1824261855021704000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3785671772605101 " "
Order of pole (three term test) = 22.219002262642206 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2999999999999385 " "
y[1] (analytic) = -2.5966095287004545 " "
y[1] (numeric) = -2.5966095287005113 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.189140039444317000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3841622841532497 " "
Order of pole (three term test) = 22.221488726616872 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3099999999999385 " "
y[1] (analytic) = -2.588585041895175 " "
y[1] (numeric) = -2.5885850418952323 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.2130819402678886000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3897075613532495 " "
Order of pole (three term test) = 22.223985216967307 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3199999999999386 " "
y[1] (analytic) = -2.5805241275993396 " "
y[1] (numeric) = -2.580524127599397 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.219995056738826900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3952028092311286 " "
Order of pole (three term test) = 22.226491643820115 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3299999999999386 " "
y[1] (analytic) = -2.5724268285261442 " "
y[1] (numeric) = -2.5724268285262015 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.226982996576839000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4006478299585574 " "
Order of pole (three term test) = 22.229007916944216 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3399999999999386 " "
y[1] (analytic) = -2.5642931876262485 " "
y[1] (numeric) = -2.5642931876263058 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.234046728630465000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4060424275153776 " "
Order of pole (three term test) = 22.23153394575403 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3499999999999386 " "
y[1] (analytic) = -2.556123248087388 " "
y[1] (numeric) = -2.5561232480874456 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 2.25856078433250980000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4113864076966598 " "
Order of pole (three term test) = 22.234069639312807 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3599999999999386 " "
y[1] (analytic) = -2.547917053333986 " "
y[1] (numeric) = -2.547917053334044 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 2.265835035915533800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4166795781196937 " "
Order of pole (three term test) = 22.236614906335845 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3699999999999386 " "
y[1] (analytic) = -2.5396746470267635 " "
y[1] (numeric) = -2.5396746470268208 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.2557026404041736000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4219217482309174 " "
Order of pole (three term test) = 22.239169655193813 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3799999999999386 " "
y[1] (analytic) = -2.531396073062343 " "
y[1] (numeric) = -2.5313960730624 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.2630795978661222000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.427112729312771 " "
Order of pole (three term test) = 22.241733793916026 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3899999999999386 " "
y[1] (analytic) = -2.5230813755728576 " "
y[1] (numeric) = -2.5230813755729145 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.2529364059017676000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.432252334490498 " "
Order of pole (three term test) = 22.244307230193762 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3999999999999386 " "
y[1] (analytic) = -2.514730598925551 " "
y[1] (numeric) = -2.5147305989256084 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.278077345348040700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4373403787388663 " "
Order of pole (three term test) = 22.246889871383598 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4099999999999386 " "
y[1] (analytic) = -2.5063437877223804 " "
y[1] (numeric) = -2.5063437877224377 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.2857003237659443000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4423766788888333 " "
Order of pole (three term test) = 22.249481624510718 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4199999999999386 " "
y[1] (analytic) = -2.497920986799613 " "
y[1] (numeric) = -2.4979209867996697 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.2756291796738115000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4473610536341346 " "
Order of pole (three term test) = 22.25208239627231 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4299999999999387 " "
y[1] (analytic) = -2.489462241227422 " "
y[1] (numeric) = -2.489462241227479 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.2833613589086427000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4522933235378224 " "
Order of pole (three term test) = 22.254692093040862 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4399999999999387 " "
y[1] (analytic) = -2.480967596309485 " "
y[1] (numeric) = -2.480967596309542 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.291179415054204200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4571733110387095 " "
Order of pole (three term test) = 22.257310620867568 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4499999999999387 " "
y[1] (analytic) = -2.4724370975825716 " "
y[1] (numeric) = -2.4724370975826284 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.299084531468434000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.462000840457773 " "
Order of pole (three term test) = 22.259937885485712 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4599999999999387 " "
y[1] (analytic) = -2.463870790816136 " "
y[1] (numeric) = -2.4638707908161925 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 2.289053868456964000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.466775738004477 " "
Order of pole (three term test) = 22.26257379231406 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4699999999999387 " "
y[1] (analytic) = -2.4552687220119043 " "
y[1] (numeric) = -2.455268722011961 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.3151607948733693000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4714978317830238 " "
Order of pole (three term test) = 22.265218246460236 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4799999999999387 " "
y[1] (analytic) = -2.4466309374034614 " "
y[1] (numeric) = -2.4466309374035182 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.3233344266109174000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4761669517985476 " "
Order of pole (three term test) = 22.267871152724183 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4899999999999387 " "
y[1] (analytic) = -2.437957483455834 " "
y[1] (numeric) = -2.437957483455891 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.331600089277676100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4807829299632334 " "
Order of pole (three term test) = 22.270532415601554 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4999999999999387 " "
y[1] (analytic) = -2.4292484068650726 " "
y[1] (numeric) = -2.4292484068651294 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.33995908776427000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4853456001023646 " "
Order of pole (three term test) = 22.273201939287198 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5099999999999387 " "
y[1] (analytic) = -2.4205037545578314 " "
y[1] (numeric) = -2.420503754557888 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 2.3300657784462214000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.489854797960309 " "
Order of pole (three term test) = 22.27587962767852 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5199999999999387 " "
y[1] (analytic) = -2.4117235736909453 " "
y[1] (numeric) = -2.4117235736910017 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 2.3385486739113887000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4943103612064312 " "
Order of pole (three term test) = 22.278565384379043 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5299999999999387 " "
y[1] (analytic) = -2.402907911651007 " "
y[1] (numeric) = -2.4029079116510634 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 2.34712821816823990000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.498712129440935 " "
Order of pole (three term test) = 22.281259112701818 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5399999999999388 " "
y[1] (analytic) = -2.394056816053939 " "
y[1] (numeric) = -2.3940568160539955 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 2.3558058134944135000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5030599442006405 " "
Order of pole (three term test) = 22.283960715672908 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5499999999999388 " "
y[1] (analytic) = -2.385170334744565 " "
y[1] (numeric) = -2.3851703347446223 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 2.4018204166032095000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5073536489646842 " "
Order of pole (three term test) = 22.286670096034904 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5599999999999388 " "
y[1] (analytic) = -2.3762485157961826 " "
y[1] (numeric) = -2.3762485157962394 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.3921495787557442000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5115930891601597 " "
Order of pole (three term test) = 22.28938715625041 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5699999999999388 " "
y[1] (analytic) = -2.3672914075101246 " "
y[1] (numeric) = -2.3672914075101814 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.401200742776104800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5157781121676763 " "
Order of pole (three term test) = 22.29211179850553 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5799999999999388 " "
y[1] (analytic) = -2.35829905841533 " "
y[1] (numeric) = -2.3582990584153865 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 2.3915257672559875000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5199085673268593 " "
Order of pole (three term test) = 22.294843924713458 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5899999999999388 " "
y[1] (analytic) = -2.3492715172679035 " "
y[1] (numeric) = -2.34927151726796 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 2.4007156787286904000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5239843059417684 " "
Order of pole (three term test) = 22.297583436517943 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5999999999999388 " "
y[1] (analytic) = -2.3402088330506787 " "
y[1] (numeric) = -2.340208833050735 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 2.410012681536468000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5280051812862536 " "
Order of pole (three term test) = 22.300330235296848 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6099999999999388 " "
y[1] (analytic) = -2.331111054972777 " "
y[1] (numeric) = -2.3311110549728333 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 2.41941839410206030000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5319710486092375 " "
Order of pole (three term test) = 22.303084222165722 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6199999999999388 " "
y[1] (analytic) = -2.321978232469164 " "
y[1] (numeric) = -2.3219782324692204 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 2.4289344689930006000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5358817651399237 " "
Order of pole (three term test) = 22.305845297981325 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6299999999999388 " "
y[1] (analytic) = -2.3128104152002043 " "
y[1] (numeric) = -2.312810415200261 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.4577638740824964000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5397371900929397 " "
Order of pole (three term test) = 22.308613363345238 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6399999999999388 " "
y[1] (analytic) = -2.303607653051217 " "
y[1] (numeric) = -2.303607653051274 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.4675824802681445000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.543537184673404 " "
Order of pole (three term test) = 22.3113883186074 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6499999999999388 " "
y[1] (analytic) = -2.294369996132023 " "
y[1] (numeric) = -2.29436999613208 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.4775175301558955000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5472816120819222 " "
Order of pole (three term test) = 22.314170063869717 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6599999999999389 " "
y[1] (analytic) = -2.2850974947764975 " "
y[1] (numeric) = -2.2850974947765543 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 2.4875708362880072000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.550970337519511 " "
Order of pole (three term test) = 22.316958498989667 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6699999999999389 " "
y[1] (analytic) = -2.2757901995421146 " "
y[1] (numeric) = -2.275790199542171 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 2.478230623468956000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5546032281924542 " "
Order of pole (three term test) = 22.31975352358389 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6799999999999389 " "
y[1] (analytic) = -2.266448161209493 " "
y[1] (numeric) = -2.2664481612095493 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 2.488445604723664700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5581801533170794 " "
Order of pole (three term test) = 22.3225550370318 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6899999999999389 " "
y[1] (analytic) = -2.2570714307819393 " "
y[1] (numeric) = -2.2570714307819957 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 2.498783551188673800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5617009841244676 " "
Order of pole (three term test) = 22.32536293847919 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.699999999999939 " "
y[1] (analytic) = -2.247660059484989 " "
y[1] (numeric) = -2.2476600594850455 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 2.5092464233172710000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5651655938650924 " "
Order of pole (three term test) = 22.32817712684196 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.709999999999939 " "
y[1] (analytic) = -2.2382140987659467 " "
y[1] (numeric) = -2.238214098766002 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 2.4801537646404892000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.568573857813374 " "
Order of pole (three term test) = 22.330997500809598 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.719999999999939 " "
y[1] (analytic) = -2.2287336002934173 " "
y[1] (numeric) = -2.2287336002934732 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.510629374176495000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5719256532721813 " "
Order of pole (three term test) = 22.333823958848946 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.729999999999939 " "
y[1] (analytic) = -2.2192186159568505 " "
y[1] (numeric) = -2.219218615956906 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 2.5013827313864406000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5752208595772381 " "
Order of pole (three term test) = 22.336656399207847 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.739999999999939 " "
y[1] (analytic) = -2.2096691978660647 " "
y[1] (numeric) = -2.2096691978661207 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.53229037609545000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5784593581014739 " "
Order of pole (three term test) = 22.339494719918722 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.749999999999939 " "
y[1] (analytic) = -2.200085398350785 " "
y[1] (numeric) = -2.200085398350841 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.543321294848497000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5816410322592909 " "
Order of pole (three term test) = 22.342338818802347 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.759999999999939 " "
y[1] (analytic) = -2.1904672699601666 " "
y[1] (numeric) = -2.190467269960222 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 2.534215050484059000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5847657675107645 " "
Order of pole (three term test) = 22.345188593471473 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.769999999999939 " "
y[1] (analytic) = -2.180814865462325 " "
y[1] (numeric) = -2.180814865462381 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.5657950762934467000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.587833451365762 " "
Order of pole (three term test) = 22.34804394133451 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.779999999999939 " "
y[1] (analytic) = -2.1711282378438623 " "
y[1] (numeric) = -2.1711282378439183 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.5772425352763495000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.590843973387996 " "
Order of pole (three term test) = 22.35090475959925 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.789999999999939 " "
y[1] (analytic) = -2.1614074403093864 " "
y[1] (numeric) = -2.1614074403094423 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.5888335256724390000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5937972251989985 " "
Order of pole (three term test) = 22.353770945276537 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.799999999999939 " "
y[1] (analytic) = -2.151652526281035 " "
y[1] (numeric) = -2.151652526281091 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.6005704804865587000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.596693100482024 " "
Order of pole (three term test) = 22.356642395184004 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.809999999999939 " "
y[1] (analytic) = -2.1418635493979945 " "
y[1] (numeric) = -2.14186354939805 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 2.591722112590232000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5995314949858752 " "
Order of pole (three term test) = 22.359519005949764 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.819999999999939 " "
y[1] (analytic) = -2.1320405635160156 " "
y[1] (numeric) = -2.1320405635160715 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.624492300879601000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6023123065286562 " "
Order of pole (three term test) = 22.362400674016136 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.829999999999939 " "
y[1] (analytic) = -2.122183622706932 " "
y[1] (numeric) = -2.1221836227069875 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 2.6157562727984435000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6050354350014506 " "
Order of pole (three term test) = 22.36528729564338 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.839999999999939 " "
y[1] (analytic) = -2.1122927812581684 " "
y[1] (numeric) = -2.1122927812582244 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.6490286260306510000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6077007823719296 " "
Order of pole (three term test) = 22.368178766913434 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.849999999999939 " "
y[1] (analytic) = -2.1023680936722586 " "
y[1] (numeric) = -2.1023680936723146 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.661533944009275600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6103082526878745 " "
Order of pole (three term test) = 22.371074983733646 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.859999999999939 " "
y[1] (analytic) = -2.09240961466635 " "
y[1] (numeric) = -2.0924096146664053 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 2.652977258475726000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6128577520806358 " "
Order of pole (three term test) = 22.37397584184052 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.869999999999939 " "
y[1] (analytic) = -2.0824173991717108 " "
y[1] (numeric) = -2.0824173991717667 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.6870328908778945000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.61534918876851 " "
Order of pole (three term test) = 22.37688123680348 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.879999999999939 " "
y[1] (analytic) = -2.0723915023332404 " "
y[1] (numeric) = -2.0723915023332964 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.700032323917061000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6177824730600465 " "
Order of pole (three term test) = 22.379791064028606 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.889999999999939 " "
y[1] (analytic) = -2.062331979508969 " "
y[1] (numeric) = -2.0623319795090245 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 2.6916690320864230000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.620157517357273 " "
Order of pole (three term test) = 22.38270521876245 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.899999999999939 " "
y[1] (analytic) = -2.0522388862695595 " "
y[1] (numeric) = -2.052238886269615 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 2.7049068996135617000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.622474236158852 " "
Order of pole (three term test) = 22.38562359609575 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.909999999999939 " "
y[1] (analytic) = -2.042112278397809 " "
y[1] (numeric) = -2.042112278397865 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.7400667942219610000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.624732546063156 " "
Order of pole (three term test) = 22.388546090967246 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.919999999999939 " "
y[1] (analytic) = -2.0319522118881475 " "
y[1] (numeric) = -2.0319522118882034 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.753767540089572000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.626932365771272 " "
Order of pole (three term test) = 22.39147259816742 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.929999999999939 " "
y[1] (analytic) = -2.0217587429461306 " "
y[1] (numeric) = -2.0217587429461865 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 2.76765171098354000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6290736160899295 " "
Order of pole (three term test) = 22.394403012342345 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.939999999999939 " "
y[1] (analytic) = -2.0115319279879373 " "
y[1] (numeric) = -2.011531927987993 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 2.7596455447159435000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6311562199343468 " "
Order of pole (three term test) = 22.397337227997415 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9499999999999391 " "
y[1] (analytic) = -2.0012718236398586 " "
y[1] (numeric) = -2.001271823639914 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 2.773793673379944000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6331801023310113 " "
Order of pole (three term test) = 22.40027513950119 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9599999999999391 " "
y[1] (analytic) = -1.9909784867377918 " "
y[1] (numeric) = -1.990978486737847 " "
absolute error = 5.528910662633280000000000000000E-14 " "
relative error = 2.7769816195715770000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6351451904203758 " "
Order of pole (three term test) = 22.40321664108918 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9699999999999391 " "
y[1] (analytic) = -1.9806519743267257 " "
y[1] (numeric) = -1.9806519743267812 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 2.8026706332457770000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6370514134594796 " "
Order of pole (three term test) = 22.40616162686763 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9799999999999391 " "
y[1] (analytic) = -1.9702923436602293 " "
y[1] (numeric) = -1.970292343660285 " "
absolute error = 5.57331958361828600000000000000E-14 " "
relative error = 2.828676465983054000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6388987028245015 " "
Order of pole (three term test) = 22.409109990817388 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9899999999999392 " "
y[1] (analytic) = -1.959899652199936 " "
y[1] (numeric) = -1.9598996521999916 " "
absolute error = 5.57331958361828600000000000000E-14 " "
relative error = 2.8436759899224334000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.640686992013221 " "
Order of pole (three term test) = 22.412061626797655 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9999999999999392 " "
y[1] (analytic) = -1.9494739576150248 " "
y[1] (numeric) = -1.9494739576150806 " "
absolute error = 5.57331958361828600000000000000E-14 " "
relative error = 2.858883834712341000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6424162166474232 " "
Order of pole (three term test) = 22.415016428549865 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.009999999999939 " "
y[1] (analytic) = -1.9390153177817049 " "
y[1] (numeric) = -1.93901531778176 " "
absolute error = 5.506706202140776000000000000000E-14 " "
relative error = 2.8399498197057166000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.644086314475207 " "
Order of pole (three term test) = 22.417974289701462 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0199999999999387 " "
y[1] (analytic) = -1.9285237907826902 " "
y[1] (numeric) = -1.9285237907827448 " "
absolute error = 5.4622972811557700000000000000E-14 " "
relative error = 2.832372256573978000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.64569722537323 " "
Order of pole (three term test) = 22.42093510376977 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0299999999999385 " "
y[1] (analytic) = -1.9179994349066796 " "
y[1] (numeric) = -1.9179994349067342 " "
absolute error = 5.4622972811557700000000000000E-14 " "
relative error = 2.8479139157940053000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6472488913488752 " "
Order of pole (three term test) = 22.42389876416581 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0399999999999383 " "
y[1] (analytic) = -1.907442308647833 " "
y[1] (numeric) = -1.9074423086478873 " "
absolute error = 5.44009282066326700000000000000E-14 " "
relative error = 2.8520353124177555000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6487412565423336 " "
Order of pole (three term test) = 22.426865164198116 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.049999999999938 " "
y[1] (analytic) = -1.8968524707052419 " "
y[1] (numeric) = -1.8968524707052963 " "
absolute error = 5.44009282066326700000000000000E-14 " "
relative error = 2.8679577904340986000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.650174267228621 " "
Order of pole (three term test) = 22.429834197076616 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.059999999999938 " "
y[1] (analytic) = -1.8862299799824045 " "
y[1] (numeric) = -1.8862299799824584 " "
absolute error = 5.39568389967826100000000000000E-14 " "
relative error = 2.860565231673708000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6515478718195067 " "
Order of pole (three term test) = 22.432805755916437 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0699999999999377 " "
y[1] (analytic) = -1.8755748955866924 " "
y[1] (numeric) = -1.8755748955867462 " "
absolute error = 5.373479439185758000000000000000E-14 " "
relative error = 2.8649772674126656000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6528620208653735 " "
Order of pole (three term test) = 22.435779733741793 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0799999999999375 " "
y[1] (analytic) = -1.864887276828821 " "
y[1] (numeric) = -1.8648872768288745 " "
absolute error = 5.351274978693255000000000000000E-14 " "
relative error = 2.8694897783810935000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6541166670569984 " "
Order of pole (three term test) = 22.438756023489795 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0899999999999372 " "
y[1] (analytic) = -1.8541671832223139 " "
y[1] (numeric) = -1.8541671832223674 " "
absolute error = 5.351274978693255000000000000000E-14 " "
relative error = 2.8860800833468525000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6553117652272538 " "
Order of pole (three term test) = 22.441734518014343 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.099999999999937 " "
y[1] (analytic) = -1.8434146744829691 " "
y[1] (numeric) = -1.8434146744830227 " "
absolute error = 5.351274978693255000000000000000E-14 " "
relative error = 2.9029143864194046000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6564472723527346 " "
Order of pole (three term test) = 22.44471511008995 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.109999999999937 " "
y[1] (analytic) = -1.8326298105283207 " "
y[1] (numeric) = -1.832629810528374 " "
absolute error = 5.329070518200751000000000000000E-14 " "
relative error = 2.9078816068502440000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.657523147555306 " "
Order of pole (three term test) = 22.447697692415616 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1199999999999366 " "
y[1] (analytic) = -1.821812651477099 " "
y[1] (numeric) = -1.821812651477152 " "
absolute error = 5.30686605770824800000000000000E-14 " "
relative error = 2.912959273504616000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6585393521035792 " "
Order of pole (three term test) = 22.45068215761871 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1299999999999364 " "
y[1] (analytic) = -1.8109632576486898 " "
y[1] (numeric) = -1.8109632576487427 " "
absolute error = 5.28466159721574500000000000000E-14 " "
relative error = 2.918149539973119000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.659495849414297 " "
Order of pole (three term test) = 22.453668398258802 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.139999999999936 " "
y[1] (analytic) = -1.8000816895625924 " "
y[1] (numeric) = -1.8000816895626452 " "
absolute error = 5.28466159721574500000000000000E-14 " "
relative error = 2.9357898743472477000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6603926050536622 " "
Order of pole (three term test) = 22.456656306831558 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.149999999999936 " "
y[1] (analytic) = -1.789168007937874 " "
y[1] (numeric) = -1.7891680079379269 " "
absolute error = 5.28466159721574500000000000000E-14 " "
relative error = 2.9536977934825930000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6612295867385671 " "
Order of pole (three term test) = 22.45964577577258 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1599999999999357 " "
y[1] (analytic) = -1.778222273692624 " "
y[1] (numeric) = -1.7782222736926765 " "
absolute error = 5.24025267623073900000000000000E-14 " "
relative error = 2.9469053187310074000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6620067643377625 " "
Order of pole (three term test) = 22.46263669746132 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1699999999999355 " "
y[1] (analytic) = -1.7672445479434045 " "
y[1] (numeric) = -1.7672445479434566 " "
absolute error = 5.21804821573823600000000000000E-14 " "
relative error = 2.9526463792521723000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6627241098729377 " "
Order of pole (three term test) = 22.465628964224912 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1799999999999353 " "
y[1] (analytic) = -1.7562348920047013 " "
y[1] (numeric) = -1.7562348920047528 " "
absolute error = 5.151434834260726000000000000000E-14 " "
relative error = 2.933226561955208000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6633815975197321 " "
Order of pole (three term test) = 22.468622468342083 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.189999999999935 " "
y[1] (analytic) = -1.745193367388371 " "
y[1] (numeric) = -1.7451933673884226 " "
absolute error = 5.151434834260726000000000000000E-14 " "
relative error = 2.951784558962479000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6639792036086603 " "
Order of pole (three term test) = 22.471617102047006 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.199999999999935 " "
y[1] (analytic) = -1.7341200358030893 " "
y[1] (numeric) = -1.734120035803141 " "
absolute error = 5.173639294753230000000000000000E-14 " "
relative error = 2.9834378174157145000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6645169066259686 " "
Order of pole (three term test) = 22.47461275753319 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2099999999999347 " "
y[1] (analytic) = -1.7230149591537947 " "
y[1] (numeric) = -1.723014959153846 " "
absolute error = 5.12923037376822300000000000000E-14 " "
relative error = 2.9768925374201544000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6649946872144055 " "
Order of pole (three term test) = 22.47760932695736 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2199999999999345 " "
y[1] (analytic) = -1.7118781995411299 " "
y[1] (numeric) = -1.7118781995411807 " "
absolute error = 5.08482145278321700000000000000E-14 " "
relative error = 2.970317312380172400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.665412528173922 " "
Order of pole (three term test) = 22.480606702443342 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2299999999999343 " "
y[1] (analytic) = -1.700709819260885 " "
y[1] (numeric) = -1.7007098192609351 " "
absolute error = 5.018208071305708000000000000000E-14 " "
relative error = 2.9506550820566096000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6657704144622885 " "
Order of pole (three term test) = 22.48360477608594 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.239999999999934 " "
y[1] (analytic) = -1.6895098808034352 " "
y[1] (numeric) = -1.689509880803485 " "
absolute error = 4.97379915032070130000000000000E-14 " "
relative error = 2.9439301935040735000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6660683331956376 " "
Order of pole (three term test) = 22.48660343995483 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.249999999999934 " "
y[1] (analytic) = -1.678278446853179 " "
y[1] (numeric) = -1.6782784468532292 " "
absolute error = 5.018208071305708000000000000000E-14 " "
relative error = 2.990092663535657000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6663062736489274 " "
Order of pole (three term test) = 22.489602586098435 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2599999999999336 " "
y[1] (analytic) = -1.6670155802879765 " "
y[1] (numeric) = -1.6670155802880262 " "
absolute error = 4.97379915032070130000000000000E-14 " "
relative error = 2.983654867497687000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6664842272563254 " "
Order of pole (three term test) = 22.492602106547814 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2699999999999334 " "
y[1] (analytic) = -1.655721344178578 " "
y[1] (numeric) = -1.6557213441786278 " "
absolute error = 4.97379915032070130000000000000E-14 " "
relative error = 3.0040073879631357000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6666021876115231 " "
Order of pole (three term test) = 22.49560189332056 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.279999999999933 " "
y[1] (analytic) = -1.6443958017880618 " "
y[1] (numeric) = -1.6443958017881115 " "
absolute error = 4.97379915032070130000000000000E-14 " "
relative error = 3.0246970619314134000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6666601504679595 " "
Order of pole (three term test) = 22.498601838424676 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.289999999999933 " "
y[1] (analytic) = -1.633039016571262 " "
y[1] (numeric) = -1.6330390165713111 " "
absolute error = 4.90718576884319200000000000000E-14 " "
relative error = 3.004940922444307000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.666658113738978 " "
Order of pole (three term test) = 22.501601833862452 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2999999999999328 " "
y[1] (analytic) = -1.621651052174197 " "
y[1] (numeric) = -1.621651052174246 " "
absolute error = 4.90718576884319200000000000000E-14 " "
relative error = 3.026042971614626000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6665960774979007 " "
Order of pole (three term test) = 22.504601771634384 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3099999999999326 " "
y[1] (analytic) = -1.6102319724334992 " "
y[1] (numeric) = -1.6102319724335479 " "
absolute error = 4.862776847858185600000000000000E-14 " "
relative error = 3.019923173248885700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6664740439780257 " "
Order of pole (three term test) = 22.507601543743032 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3199999999999323 " "
y[1] (analytic) = -1.5987818413758386 " "
y[1] (numeric) = -1.5987818413758863 " "
absolute error = 4.77395900588817300000000000000E-14 " "
relative error = 2.9859977655112235000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6662920175725464 " "
Order of pole (three term test) = 22.510601042196928 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.329999999999932 " "
y[1] (analytic) = -1.5873007232173448 " "
y[1] (numeric) = -1.5873007232173928 " "
absolute error = 4.79616346638067600000000000000E-14 " "
relative error = 3.021584628689135000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6660500048343942 " "
Order of pole (three term test) = 22.51360015901445 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.339999999999932 " "
y[1] (analytic) = -1.5757886823630343 " "
y[1] (numeric) = -1.5757886823630822 " "
absolute error = 4.79616346638067600000000000000E-14 " "
relative error = 3.043659038842953000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6657480144760008 " "
Order of pole (three term test) = 22.51659878622772 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3499999999999317 " "
y[1] (analytic) = -1.5642457834062262 " "
y[1] (numeric) = -1.564245783406274 " "
absolute error = 4.77395900588817300000000000000E-14 " "
relative error = 3.0519238450447533000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6653860573689871 " "
Order of pole (three term test) = 22.519596815886477 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3599999999999315 " "
y[1] (analytic) = -1.5526720911279628 " "
y[1] (numeric) = -1.55267209112801 " "
absolute error = 4.72955008490316700000000000000E-14 " "
relative error = 3.0460714222455765000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.664964146543769 " "
Order of pole (three term test) = 22.522594140061972 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3699999999999313 " "
y[1] (analytic) = -1.5410676704964257 " "
y[1] (numeric) = -1.5410676704964723 " "
absolute error = 4.662936703425657500000000000000E-14 " "
relative error = 3.02578322334384030000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.664482297189092 " "
Order of pole (three term test) = 22.525590650850873 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.379999999999931 " "
y[1] (analytic) = -1.529432586666351 " "
y[1] (numeric) = -1.5294325866663976 " "
absolute error = 4.662936703425657500000000000000E-14 " "
relative error = 3.0488017216824786000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6639405266514797 " "
Order of pole (three term test) = 22.5285862403791 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.389999999999931 " "
y[1] (analytic) = -1.5177669049784452 " "
y[1] (numeric) = -1.5177669049784912 " "
absolute error = 4.59632332194814800000000000000E-14 " "
relative error = 3.0283459909895870000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6633388544346135 " "
Order of pole (three term test) = 22.531580800805763 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3999999999999306 " "
y[1] (analytic) = -1.506070690958793 " "
y[1] (numeric) = -1.5060706909588393 " "
absolute error = 4.61852778244065100000000000000E-14 " "
relative error = 3.0666075703926016000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6626773021986274 " "
Order of pole (three term test) = 22.534574224327006 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4099999999999304 " "
y[1] (analytic) = -1.4943440103182732 " "
y[1] (numeric) = -1.4943440103183188 " "
absolute error = 4.55191440096314200000000000000E-14 " "
relative error = 3.0460953900391724000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6619558937593317 " "
Order of pole (three term test) = 22.537566403179913 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.41999999999993 " "
y[1] (analytic) = -1.4825869289519606 " "
y[1] (numeric) = -1.482586928952006 " "
absolute error = 4.52970994047063870000000000000E-14 " "
relative error = 3.0552744341761373000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6611746550873518 " "
Order of pole (three term test) = 22.540557229646364 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.42999999999993 " "
y[1] (analytic) = -1.4707995129385378 " "
y[1] (numeric) = -1.4707995129385836 " "
absolute error = 4.57411886145564500000000000000E-14 " "
relative error = 3.1099540224329600000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.660333614307195 " "
Order of pole (three term test) = 22.54354659605692 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.43999999999993 " "
y[1] (analytic) = -1.4589818285397007 " "
y[1] (numeric) = -1.458981828539746 " "
absolute error = 4.52970994047063870000000000000E-14 " "
relative error = 3.1047062080303210000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6594328016962392 " "
Order of pole (three term test) = 22.546534394794723 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4499999999999296 " "
y[1] (analytic) = -1.447133942199558 " "
y[1] (numeric) = -1.447133942199603 " "
absolute error = 4.507505479978135600000000000000E-14 " "
relative error = 3.114781119104286000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6584722496836406 " "
Order of pole (three term test) = 22.54952051829934 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4599999999999294 " "
y[1] (analytic) = -1.435255920544037 " "
y[1] (numeric) = -1.4352559205440818 " "
absolute error = 4.485301019485632400000000000000E-14 " "
relative error = 3.1250879757983996000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6574519928491687 " "
Order of pole (three term test) = 22.55250485907065 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.469999999999929 " "
y[1] (analytic) = -1.4233478303802825 " "
y[1] (numeric) = -1.423347830380327 " "
absolute error = 4.46309655899312930000000000000E-14 " "
relative error = 3.135633092440028000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6563720679219582 " "
Order of pole (three term test) = 22.555487309672703 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.479999999999929 " "
y[1] (analytic) = -1.4114097386960553 " "
y[1] (numeric) = -1.4114097386961 " "
absolute error = 4.46309655899312930000000000000E-14 " "
relative error = 3.162155139383127600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6552325137791906 " "
Order of pole (three term test) = 22.558467762737592 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4899999999999287 " "
y[1] (analytic) = -1.3994417126591312 " "
y[1] (numeric) = -1.3994417126591754 " "
absolute error = 4.41868763800812300000000000000E-14 " "
relative error = 3.1574645789369893000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6540333714446922 " "
Order of pole (three term test) = 22.561446110969346 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4999999999999285 " "
y[1] (analytic) = -1.3874438196166932 " "
y[1] (numeric) = -1.3874438196167371 " "
absolute error = 4.3964831775156200000000000000E-14 " "
relative error = 3.1687648287843680000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.652774684087457 " "
Order of pole (three term test) = 22.56442224714774 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5099999999999283 " "
y[1] (analytic) = -1.3754161270947285 " "
y[1] (numeric) = -1.375416127094772 " "
absolute error = 4.352074256530613600000000000000E-14 " "
relative error = 3.1641873108783714000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6514564970200942 " "
Order of pole (three term test) = 22.56739606413219 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.519999999999928 " "
y[1] (analytic) = -1.3633587027974183 " "
y[1] (numeric) = -1.3633587027974619 " "
absolute error = 4.352074256530613600000000000000E-14 " "
relative error = 3.192171104787592000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6500788576971954 " "
Order of pole (three term test) = 22.570367454865615 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.529999999999928 " "
y[1] (analytic) = -1.3512716146065316 " "
y[1] (numeric) = -1.3512716146065744 " "
absolute error = 4.28546087505310400000000000000E-14 " "
relative error = 3.171428178265227000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6486418157136289 " "
Order of pole (three term test) = 22.57333631237827 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5399999999999276 " "
y[1] (analytic) = -1.3391549305808097 " "
y[1] (numeric) = -1.3391549305808523 " "
absolute error = 4.26325641456060100000000000000E-14 " "
relative error = 3.1835423349496755000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6471454228027484 " "
Order of pole (three term test) = 22.57630252979159 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5499999999999274 " "
y[1] (analytic) = -1.3270087189553585 " "
y[1] (numeric) = -1.3270087189554007 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.1792161071079744000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6455897328345386 " "
Order of pole (three term test) = 22.57926600032208 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5599999999999272 " "
y[1] (analytic) = -1.3148330481410306 " "
y[1] (numeric) = -1.314833048141073 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 3.2255440795805107000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.643974801813671 " "
Order of pole (three term test) = 22.582226617285112 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.569999999999927 " "
y[1] (analytic) = -1.3026279867238129 " "
y[1] (numeric) = -1.302627986723855 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.2387201384995945000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6423006878774873 " "
Order of pole (three term test) = 22.585184274098815 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.579999999999927 " "
y[1] (analytic) = -1.290393603464206 " "
y[1] (numeric) = -1.2903936034642478 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 3.2350118300213526000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6405674512939077 " "
Order of pole (three term test) = 22.588138864287846 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5899999999999266 " "
y[1] (analytic) = -1.2781299672966078 " "
y[1] (numeric) = -1.278129967296649 " "
absolute error = 4.130029651605582300000000000000E-14 " "
relative error = 3.2313064846926880000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6387751544592626 " "
Order of pole (three term test) = 22.59109028148728 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5999999999999264 " "
y[1] (analytic) = -1.2658371473286911 " "
y[1] (numeric) = -1.2658371473287326 " "
absolute error = 4.152234112098085500000000000000E-14 " "
relative error = 3.2802277298154714000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6369238618960447 " "
Order of pole (three term test) = 22.594038419446413 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.609999999999926 " "
y[1] (analytic) = -1.2535152128407852 " "
y[1] (numeric) = -1.253515212840826 " "
absolute error = 4.08562073062057600000000000000E-14 " "
relative error = 3.259330791336403400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6350136402505862 " "
Order of pole (three term test) = 22.596983172032612 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.619999999999926 " "
y[1] (analytic) = -1.2411642332852475 " "
y[1] (numeric) = -1.2411642332852877 " "
absolute error = 4.019007349143066700000000000000E-14 " "
relative error = 3.238094718943942000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6330445582906603 " "
Order of pole (three term test) = 22.599924433235092 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6299999999999257 " "
y[1] (analytic) = -1.2287842782858414 " "
y[1] (numeric) = -1.2287842782858813 " "
absolute error = 3.996802888650563500000000000000E-14 " "
relative error = 3.252648133019832000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6310166869030036 " "
Order of pole (three term test) = 22.60286209716876 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6399999999999255 " "
y[1] (analytic) = -1.2163754176371102 " "
y[1] (numeric) = -1.2163754176371497 " "
absolute error = 3.95239396766555730000000000000E-14 " "
relative error = 3.249320818521098000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6289300990907682 " "
Order of pole (three term test) = 22.60579605807804 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6499999999999253 " "
y[1] (analytic) = -1.2039377213037463 " "
y[1] (numeric) = -1.2039377213037863 " "
absolute error = 3.996802888650563500000000000000E-14 " "
relative error = 3.3197754484529474000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6267848699708902 " "
Order of pole (three term test) = 22.60872621034066 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.659999999999925 " "
y[1] (analytic) = -1.1914712594199657 " "
y[1] (numeric) = -1.1914712594200052 " "
absolute error = 3.95239396766555730000000000000E-14 " "
relative error = 3.317238193046863000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.624581076771385 " "
Order of pole (three term test) = 22.611652448471446 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.669999999999925 " "
y[1] (analytic) = -1.1789761022888716 " "
y[1] (numeric) = -1.1789761022889107 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 3.3147279568208077000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6223187988285714 " "
Order of pole (three term test) = 22.614574667126153 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6799999999999247 " "
y[1] (analytic) = -1.1664523203818251 " "
y[1] (numeric) = -1.1664523203818642 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 3.3503170068720134000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.61999811758421 " "
Order of pole (three term test) = 22.617492761105204 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6899999999999245 " "
y[1] (analytic) = -1.1538999843378113 " "
y[1] (numeric) = -1.15389998433785 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 3.3482764348183397000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.617619116582575 " "
Order of pole (three term test) = 22.620406625357553 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6999999999999242 " "
y[1] (analytic) = -1.1413191649628007 " "
y[1] (numeric) = -1.1413191649628391 " "
absolute error = 3.841371665203041600000000000000E-14 " "
relative error = 3.3657295725234265000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.615181881467446 " "
Order of pole (three term test) = 22.623316154984394 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.709999999999924 " "
y[1] (analytic) = -1.1287099332291148 " "
y[1] (numeric) = -1.128709933229153 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 3.383656945220923000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6126864999790236 " "
Order of pole (three term test) = 22.626221245242974 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.719999999999924 " "
y[1] (analytic) = -1.116072360274786 " "
y[1] (numeric) = -1.1160723602748237 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 3.382180598752716000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6101330619507717 " "
Order of pole (three term test) = 22.62912179155035 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7299999999999236 " "
y[1] (analytic) = -1.1034065174029166 " "
y[1] (numeric) = -1.1034065174029544 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 3.4210041577515465000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6075216593061834 " "
Order of pole (three term test) = 22.632017689487178 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7399999999999234 " "
y[1] (analytic) = -1.0907124760810398 " "
y[1] (numeric) = -1.0907124760810771 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 3.420103321953165000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6048523860554724 " "
Order of pole (three term test) = 22.634908834801454 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.749999999999923 " "
y[1] (analytic) = -1.0779903079404731 " "
y[1] (numeric) = -1.0779903079405104 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 3.460466513717966300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6021253382921878 " "
Order of pole (three term test) = 22.637795123412232 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.759999999999923 " "
y[1] (analytic) = -1.0652400847756764 " "
y[1] (numeric) = -1.0652400847757135 " "
absolute error = 3.70814490224802300000000000000E-14 " "
relative error = 3.4810414621497300000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.599340614189754 " "
Order of pole (three term test) = 22.64067645141346 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7699999999999227 " "
y[1] (analytic) = -1.0524618785436044 " "
y[1] (numeric) = -1.0524618785436408 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 3.460012752014981000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5964983139979372 " "
Order of pole (three term test) = 22.64355271507762 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7799999999999225 " "
y[1] (analytic) = -1.0396557613630582 " "
y[1] (numeric) = -1.0396557613630946 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 3.5026319827211100000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.593598540039238 " "
Order of pole (three term test) = 22.64642381085955 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7899999999999223 " "
y[1] (analytic) = -1.026821805514039 " "
y[1] (numeric) = -1.026821805514075 " "
absolute error = 3.59712259978550700000000000000E-14 " "
relative error = 3.503161483783202000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5906413967052069 " "
Order of pole (three term test) = 22.649289635400095 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.799999999999922 " "
y[1] (analytic) = -1.0139600834370943 " "
y[1] (numeric) = -1.0139600834371305 " "
absolute error = 3.619327060278010300000000000000E-14 " "
relative error = 3.5694965900524545000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5876269904526827 " "
Order of pole (three term test) = 22.65215008552989 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.809999999999922 " "
y[1] (analytic) = -1.0010706677326695 " "
y[1] (numeric) = -1.0010706677327053 " "
absolute error = 3.57491813929300400000000000000E-14 " "
relative error = 3.5710946834451320000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.584555429799966 " "
Order of pole (three term test) = 22.65500505827304 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8199999999999217 " "
y[1] (analytic) = -0.9881536311604506 " "
y[1] (numeric) = -0.988153631160486 " "
absolute error = 3.541611448554249400000000000000E-14 " "
relative error = 3.58406965968957000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5814268253229082 " "
Order of pole (three term test) = 22.657854450850834 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8299999999999215 " "
y[1] (analytic) = -0.9752090466387124 " "
y[1] (numeric) = -0.9752090466387474 " "
absolute error = 3.49720252756924300000000000000E-14 " "
relative error = 3.5861055018133550000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.578241289650933 " "
Order of pole (three term test) = 22.66069816068545 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8399999999999213 " "
y[1] (analytic) = -0.9622369872436605 " "
y[1] (numeric) = -0.9622369872436952 " "
absolute error = 3.4749980670767400000000000000E-14 " "
relative error = 3.6113744463626520000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5749989374629791 " "
Order of pole (three term test) = 22.663536085403628 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.849999999999921 " "
y[1] (analytic) = -0.9492375262087742 " "
y[1] (numeric) = -0.9492375262088091 " "
absolute error = 3.486100297322991500000000000000E-14 " "
relative error = 3.67252684504201000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5716998854833777 " "
Order of pole (three term test) = 22.666368122840403 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.859999999999921 " "
y[1] (analytic) = -0.9362107369241488 " "
y[1] (numeric) = -0.9362107369241832 " "
absolute error = 3.44169137633798500000000000000E-14 " "
relative error = 3.676193020008943000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5683442524776408 " "
Order of pole (three term test) = 22.66919417104271 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8699999999999206 " "
y[1] (analytic) = -0.9231566929358319 " "
y[1] (numeric) = -0.9231566929358661 " "
absolute error = 3.41948691584548200000000000000E-14 " "
relative error = 3.704124058257972000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5649321592481968 " "
Order of pole (three term test) = 22.672014128273144 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8799999999999204 " "
y[1] (analytic) = -0.9100754679451644 " "
y[1] (numeric) = -0.9100754679451983 " "
absolute error = 3.39728245535297900000000000000E-14 " "
relative error = 3.732967841692969000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5614637286300321 " "
Order of pole (three term test) = 22.674827893013536 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.88999999999992 " "
y[1] (analytic) = -0.8969671358081159 " "
y[1] (numeric) = -0.8969671358081494 " "
absolute error = 3.34177130412172100000000000000E-14 " "
relative error = 3.725634051364633000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5579390854862742 " "
Order of pole (three term test) = 22.67763536396866 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.89999999999992 " "
y[1] (analytic) = -0.8838317705346199 " "
y[1] (numeric) = -0.883831770534653 " "
absolute error = 3.308464613382966500000000000000E-14 " "
relative error = 3.743319400457525400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.554358356703697 " "
Order of pole (three term test) = 22.68043644006986 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9099999999999198 " "
y[1] (analytic) = -0.8706694462879081 " "
y[1] (numeric) = -0.8706694462879411 " "
absolute error = 3.29736238313671500000000000000E-14 " "
relative error = 3.787157568460673400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.550721671188147 " "
Order of pole (three term test) = 22.68323102047871 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9199999999999195 " "
y[1] (analytic) = -0.8574802373838435 " "
y[1] (numeric) = -0.857480237383876 " "
absolute error = 3.252953462151708700000000000000E-14 " "
relative error = 3.793619165004210600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5470291598599137 " "
Order of pole (three term test) = 22.686019004590612 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9299999999999193 " "
y[1] (analytic) = -0.8442642182902498 " "
y[1] (numeric) = -0.8442642182902822 " "
absolute error = 3.24185123190545700000000000000E-14 " "
relative error = 3.839853877108102600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5432809556490041 " "
Order of pole (three term test) = 22.688800292038433 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.939999999999919 " "
y[1] (analytic) = -0.8310214636262434 " "
y[1] (numeric) = -0.8310214636262754 " "
absolute error = 3.19744231092045100000000000000E-14 " "
relative error = 3.847604966745502000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5394771934903655 " "
Order of pole (three term test) = 22.691574782696144 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.949999999999919 " "
y[1] (analytic) = -0.8177520481615597 " "
y[1] (numeric) = -0.8177520481615916 " "
absolute error = 3.19744231092045100000000000000E-14 " "
relative error = 3.910038890283214500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5356180103190233 " "
Order of pole (three term test) = 22.694342376682354 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9599999999999187 " "
y[1] (analytic) = -0.8044560468158823 " "
y[1] (numeric) = -0.8044560468159138 " "
absolute error = 3.14193115968919300000000000000E-14 " "
relative error = 3.905659199312717000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5317035450651577 " "
Order of pole (three term test) = 22.697102974363997 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9699999999999185 " "
y[1] (analytic) = -0.7911335346581665 " "
y[1] (numeric) = -0.7911335346581977 " "
absolute error = 3.1197266991966900000000000000E-14 " "
relative error = 3.943362988075917500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5277339386490933 " "
Order of pole (three term test) = 22.699856476359855 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9799999999999183 " "
y[1] (analytic) = -0.7777845869059652 " "
y[1] (numeric) = -0.7777845869059964 " "
absolute error = 3.1197266991966900000000000000E-14 " "
relative error = 4.011042069639093000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5237093339762318 " "
Order of pole (three term test) = 22.702602783544144 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.989999999999918 " "
y[1] (analytic) = -0.7644092789247527 " "
y[1] (numeric) = -0.7644092789247832 " "
absolute error = 3.04201108747292900000000000000E-14 " "
relative error = 3.97955803434508000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5196298759319085 " "
Order of pole (three term test) = 22.705341797050107 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.999999999999918 " "
y[1] (analytic) = -0.7510076862272426 " "
y[1] (numeric) = -0.7510076862272731 " "
absolute error = 3.053113317719180500000000000000E-14 " "
relative error = 4.065355619803015000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5154957113761707 " "
Order of pole (three term test) = 22.708073418273546 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0099999999999176 " "
y[1] (analytic) = -0.7375798844727139 " "
y[1] (numeric) = -0.7375798844727438 " "
absolute error = 2.98649993624167100000000000000E-14 " "
relative error = 4.049052853951786000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5113069891384971 " "
Order of pole (three term test) = 22.710797548876414 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0199999999999174 " "
y[1] (analytic) = -0.7241259494663244 " "
y[1] (numeric) = -0.7241259494663542 " "
absolute error = 2.98649993624167100000000000000E-14 " "
relative error = 4.124282437941494000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5070638600124349 " "
Order of pole (three term test) = 22.71351409079027 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.029999999999917 " "
y[1] (analytic) = -0.7106459571584327 " "
y[1] (numeric) = -0.7106459571584625 " "
absolute error = 2.975397705995419500000000000000E-14 " "
relative error = 4.18689176519452000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5027664767501756 " "
Order of pole (three term test) = 22.71622294621993 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.039999999999917 " "
y[1] (analytic) = -0.6971399836439125 " "
y[1] (numeric) = -0.6971399836439421 " "
absolute error = 2.96429547574916800000000000000E-14 " "
relative error = 4.252080708747987000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4984149940570513 " "
Order of pole (three term test) = 22.718924017646877 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0499999999999168 " "
y[1] (analytic) = -0.6836081051614686 " "
y[1] (numeric) = -0.6836081051614977 " "
absolute error = 2.9087843245179100000000000000E-14 " "
relative error = 4.255046572086581000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4940095685859696 " "
Order of pole (three term test) = 22.721617207832836 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0599999999999166 " "
y[1] (analytic) = -0.67005039809295 " "
y[1] (numeric) = -0.6700503980929783 " "
absolute error = 2.831068712794149000000000000000E-14 " "
relative error = 4.22515786999267060000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.489550358931773 " "
Order of pole (three term test) = 22.72430241982324 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0699999999999164 " "
y[1] (analytic) = -0.6564669389626616 " "
y[1] (numeric) = -0.6564669389626901 " "
absolute error = 2.85327317328665230000000000000E-14 " "
relative error = 4.346408027486271500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4850375256255248 " "
Order of pole (three term test) = 22.726979556950756 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.079999999999916 " "
y[1] (analytic) = -0.6428578044366795 " "
y[1] (numeric) = -0.6428578044367078 " "
absolute error = 2.831068712794149000000000000000E-14 " "
relative error = 4.403880132208934000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.480471231128738 " "
Order of pole (three term test) = 22.729648522838744 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.089999999999916 " "
y[1] (analytic) = -0.6292230713221565 " "
y[1] (numeric) = -0.6292230713221846 " "
absolute error = 2.80886425230164600000000000000E-14 " "
relative error = 4.464019805248896600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4758516398275217 " "
Order of pole (three term test) = 22.732309221404698 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0999999999999157 " "
y[1] (analytic) = -0.6155628165666329 " "
y[1] (numeric) = -0.6155628165666607 " "
absolute error = 2.775557561562891400000000000000E-14 " "
relative error = 4.508975342344196000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4711789180266637 " "
Order of pole (three term test) = 22.734961556863784 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1099999999999155 " "
y[1] (analytic) = -0.6018771172573438 " "
y[1] (numeric) = -0.601877117257371 " "
absolute error = 2.720046410331633500000000000000E-14 " "
relative error = 4.519272011413962300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4664532339436434 " "
Order of pole (three term test) = 22.73760543373219 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1199999999999153 " "
y[1] (analytic) = -0.5881660506205248 " "
y[1] (numeric) = -0.5881660506205516 " "
absolute error = 2.675637489346627000000000000000E-14 " "
relative error = 4.549119226660202000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4616747577025777 " "
Order of pole (three term test) = 22.740240756830644 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.129999999999915 " "
y[1] (analytic) = -0.5744296940207172 " "
y[1] (numeric) = -0.5744296940207441 " "
absolute error = 2.686739719592879000000000000000E-14 " "
relative error = 4.6772298639143467000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.456843661328095 " "
Order of pole (three term test) = 22.7428674312878 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.139999999999915 " "
y[1] (analytic) = -0.5606681249600731 " "
y[1] (numeric) = -0.5606681249600997 " "
absolute error = 2.65343302885412400000000000000E-14 " "
relative error = 4.732626862001622000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4519601187391442 " "
Order of pole (three term test) = 22.745485362543654 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1499999999999146 " "
y[1] (analytic) = -0.5468814210776558 " "
y[1] (numeric) = -0.5468814210776818 " "
absolute error = 2.597921877622866300000000000000E-14 " "
relative error = 4.750429942387763000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.44702430574273 " "
Order of pole (three term test) = 22.74809445635298 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1599999999999144 " "
y[1] (analytic) = -0.5330696601487412 " "
y[1] (numeric) = -0.533069660148767 " "
absolute error = 2.575717417130363000000000000000E-14 " "
relative error = 4.8318589664466480000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4420364000275874 " "
Order of pole (three term test) = 22.75069461878866 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.169999999999914 " "
y[1] (analytic) = -0.5192329200841199 " "
y[1] (numeric) = -0.5192329200841452 " "
absolute error = 2.53130849614535700000000000000E-14 " "
relative error = 4.875092464736759400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4369965811577845 " "
Order of pole (three term test) = 22.75328575624515 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.179999999999914 " "
y[1] (analytic) = -0.5053712789293932 " "
y[1] (numeric) = -0.5053712789294186 " "
absolute error = 2.542410726391608500000000000000E-14 " "
relative error = 5.0307780287348220000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.431905030566254 " "
Order of pole (three term test) = 22.75586777544176 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.189999999999914 " "
y[1] (analytic) = -0.49148481486427364 " "
y[1] (numeric) = -0.4914848148642987 " "
absolute error = 2.50355292052972800000000000000E-14 " "
relative error = 5.0938560964922150000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4267619315482685 " "
Order of pole (three term test) = 22.75844058342609 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1999999999999136 " "
y[1] (analytic) = -0.4775736062018787 " "
y[1] (numeric) = -0.4775736062019035 " "
absolute error = 2.47579734491409900000000000000E-14 " "
relative error = 5.184116778571587000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4215674692548388 " "
Order of pole (three term test) = 22.76100408757733 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2099999999999134 " "
y[1] (analytic) = -0.4636377313880278 " "
y[1] (numeric) = -0.4636377313880521 " "
absolute error = 2.431388423929092800000000000000E-14 " "
relative error = 5.244155639900272000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4163218306860452 " "
Order of pole (three term test) = 22.76355819560961 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.219999999999913 " "
y[1] (analytic) = -0.44967726900053506 " "
y[1] (numeric) = -0.4496772690005589 " "
absolute error = 2.381428387820960800000000000000E-14 " "
relative error = 5.2958611697540070000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4110252046843081 " "
Order of pole (three term test) = 22.766102815575305 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.229999999999913 " "
y[1] (analytic) = -0.4356922977485025 " "
y[1] (numeric) = -0.4356922977485263 " "
absolute error = 2.381428387820960800000000000000E-14 " "
relative error = 5.4658491787146710000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4056777819275932 " "
Order of pole (three term test) = 22.76863785586838 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2399999999999127 " "
y[1] (analytic) = -0.42168289647161283 " "
y[1] (numeric) = -0.42168289647163654 " "
absolute error = 2.370326157574709200000000000000E-14 " "
relative error = 5.621110501298875000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.400279754922542 " "
Order of pole (three term test) = 22.77116322522766 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2499999999999125 " "
y[1] (analytic) = -0.40764914413941855 " "
y[1] (numeric) = -0.4076491441394418 " "
absolute error = 2.32591723658970300000000000000E-14 " "
relative error = 5.705684091401464000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.394831317997545 " "
Order of pole (three term test) = 22.773678832740114 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2599999999999123 " "
y[1] (analytic) = -0.3935911198506312 " "
y[1] (numeric) = -0.3935911198506538 " "
absolute error = 2.259303855112193600000000000000E-14 " "
relative error = 5.740230765291668000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3893326672957396 " "
Order of pole (three term test) = 22.776184587844146 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.269999999999912 " "
y[1] (analytic) = -0.37950890283240946 " "
y[1] (numeric) = -0.3795089028324317 " "
absolute error = 2.22599716437343900000000000000E-14 " "
relative error = 5.8654675760174090000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.383784000767961 " "
Order of pole (three term test) = 22.778680400332846 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.279999999999912 " "
y[1] (analytic) = -0.3654025724396468 " "
y[1] (numeric) = -0.36540257243966917 " "
absolute error = 2.237099394619690400000000000000E-14 " "
relative error = 6.122286933240434000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3781855181656015 " "
Order of pole (three term test) = 22.781166180357232 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2899999999999117 " "
y[1] (analytic) = -0.3512722081542581 " "
y[1] (numeric) = -0.35127220815428006 " "
absolute error = 2.1982415887578100000000000000E-14 " "
relative error = 6.257943377611221000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3725374210334331 " "
Order of pole (three term test) = 22.783641838429485 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2999999999999114 " "
y[1] (analytic) = -0.33711788958446154 " "
y[1] (numeric) = -0.3371178895844833 " "
absolute error = 2.176037128265306800000000000000E-14 " "
relative error = 6.454825434946615000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3668399127023405 " "
Order of pole (three term test) = 22.786107285426194 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3099999999999112 " "
y[1] (analytic) = -0.32293969646406495 " "
y[1] (numeric) = -0.3229396964640862 " "
absolute error = 2.126077092157174800000000000000E-14 " "
relative error = 6.583511149097007000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3610931982820096 " "
Order of pole (three term test) = 22.788562432591526 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.319999999999911 " "
y[1] (analytic) = -0.3087377086517462 " "
y[1] (numeric) = -0.308737708651767 " "
absolute error = 2.076117056049042700000000000000E-14 " "
relative error = 6.724533472491651000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.35529748465354 " "
Order of pole (three term test) = 22.791007191540455 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.329999999999911 " "
y[1] (analytic) = -0.2945120061303348 " "
y[1] (numeric) = -0.2945120061303559 " "
absolute error = 2.109423746787797400000000000000E-14 " "
relative error = 7.162437194001126000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3494529804619924 " "
Order of pole (three term test) = 22.793441474261904 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3399999999999106 " "
y[1] (analytic) = -0.280262669006095 " "
y[1] (numeric) = -0.2802626690061156 " "
absolute error = 2.059463710679665400000000000000E-14 " "
relative error = 7.34833403957513100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3435598961088904 " "
Order of pole (three term test) = 22.795865193121983 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3499999999999104 " "
y[1] (analytic) = -0.265989777508 " "
y[1] (numeric) = -0.26598977750802 " "
absolute error = 1.998401444325281800000000000000E-14 " "
relative error = 7.513076115360023000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3376184437446321 " "
Order of pole (three term test) = 22.798278260867058 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.35999999999991 " "
y[1] (analytic) = -0.2516934119870129 " "
y[1] (numeric) = -0.2516934119870324 " "
absolute error = 1.948441408217149700000000000000E-14 " "
relative error = 7.741328598293575000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3316288372608627 " "
Order of pole (three term test) = 22.800680590626957 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.36999999999991 " "
y[1] (analytic) = -0.23737365291536205 " "
y[1] (numeric) = -0.23737365291538204 " "
absolute error = 1.998401444325281800000000000000E-14 " "
relative error = 8.41880056940368000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3255912922827653 " "
Order of pole (three term test) = 22.80307209591807 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3799999999999097 " "
y[1] (analytic) = -0.22303058088582062 " "
y[1] (numeric) = -0.22303058088584019 " "
absolute error = 1.956768080901838400000000000000E-14 " "
relative error = 8.77354160640238000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3195060261613116 " "
Order of pole (three term test) = 22.80545269064645 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3899999999999095 " "
y[1] (analytic) = -0.20866427661097542 " "
y[1] (numeric) = -0.20866427661099457 " "
absolute error = 1.91513471747839500000000000000E-14 " "
relative error = 9.178067029886906000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3133732579654223 " "
Order of pole (three term test) = 22.807822289110973 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3999999999999093 " "
y[1] (analytic) = -0.19427482092250425 " "
y[1] (numeric) = -0.19427482092252302 " "
absolute error = 1.876276911616514600000000000000E-14 " "
relative error = 9.6578491371507000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3071932084740903 " "
Order of pole (three term test) = 22.81018080600632 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.409999999999909 " "
y[1] (analytic) = -0.17986229477044802 " "
y[1] (numeric) = -0.179862294770466 " "
absolute error = 1.798561299892753600000000000000E-14 " "
relative error = 9.999657249943323000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.3009661001684296 " "
Order of pole (three term test) = 22.812528156426154 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.419999999999909 " "
y[1] (analytic) = -0.16542677922247973 " "
y[1] (numeric) = -0.1654267792224981 " "
absolute error = 1.83741910575463400000000000000E-14 " "
relative error = 1.110714428698100600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2946921572236658 " "
Order of pole (three term test) = 22.814864255866105 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4299999999999087 " "
y[1] (analytic) = -0.15096835546318066 " "
y[1] (numeric) = -0.15096835546319837 " "
absolute error = 1.770805724277124700000000000000E-14 " "
relative error = 1.172964836799194500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2883716055010708 " "
Order of pole (three term test) = 22.81718902022686 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4399999999999085 " "
y[1] (analytic) = -0.13648710479330228 " "
y[1] (numeric) = -0.13648710479331966 " "
absolute error = 1.7374990335383700000000000000E-14 " "
relative error = 1.273013326914406700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2820046725398202 " "
Order of pole (three term test) = 22.819502365817133 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4499999999999083 " "
y[1] (analytic) = -0.12198310862903994 " "
y[1] (numeric) = -0.12198310862905694 " "
absolute error = 1.70002900645727100000000000000E-14 " "
relative error = 1.39365935625332400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2755915875488157 " "
Order of pole (three term test) = 22.82180420935675 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.459999999999908 " "
y[1] (analytic) = -0.10745644850129787 " "
y[1] (numeric) = -0.10745644850131453 " "
absolute error = 1.665334536937734800000000000000E-14 " "
relative error = 1.549776267654724000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2691325813984218 " "
Order of pole (three term test) = 22.824094467979577 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.469999999999908 " "
y[1] (analytic) = -9.2907206054955390E-2 " "
y[1] (numeric) = -9.29072060549723600E-2 " "
absolute error = 1.695865670114926600000000000000E-14 " "
relative error = 1.825332761714745800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.262627886612164 " "
Order of pole (three term test) = 22.826373059236573 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4799999999999076 " "
y[1] (analytic) = -7.83354630481347700E-2 " "
y[1] (numeric) = -7.8335463048151100E-2 " "
absolute error = 1.633415624979761600000000000000E-14 " "
relative error = 2.085154745273002700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.256077737358352 " "
Order of pole (three term test) = 22.828639901098672 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4899999999999074 " "
y[1] (analytic) = -6.37413013514607200E-2 " "
y[1] (numeric) = -6.37413013514764400E-2 " "
absolute error = 1.57235335862537800000000000000E-14 " "
relative error = 2.466773230680746300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2494823694416524 " "
Order of pole (three term test) = 22.83089491195983 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.499999999999907 " "
y[1] (analytic) = -4.912480294732657300E-2 " "
y[1] (numeric) = -4.91248029473421600E-2 " "
absolute error = 1.558475570817563500000000000000E-14 " "
relative error = 3.172482080973675300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2428420202945951 " "
Order of pole (three term test) = 22.833138010639896 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.509999999999907 " "
y[1] (analytic) = -3.44860499291574900E-2 " "
y[1] (numeric) = -3.44860499291723130E-2 " "
absolute error = 1.48214773787458400000000000000E-14 " "
relative error = 4.297818221916590600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.236156928969036 " "
Order of pole (three term test) = 22.83536911638755 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5199999999999068 " "
y[1] (analytic) = -1.98251245006670900E-2 " "
y[1] (numeric) = -1.98251245006824170E-2 " "
absolute error = 1.532801663373106700000000000000E-14 " "
relative error = 7.7316117904910500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2294273361275365 " "
Order of pole (three term test) = 22.83758814888324 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5299999999999065 " "
y[1] (analytic) = -5.142108975124904000E-3 " "
y[1] (numeric) = -5.142108975139599000E-3 " "
absolute error = 1.469484256499953300000000000000E-14 " "
relative error = 2.8577462352677170000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2226534840347163 " "
Order of pole (three term test) = 22.83979502824203 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5399999999999063 " "
y[1] (analytic) = 9.562914225392571000E-3 " "
y[1] (numeric) = 9.562914225378237000E-3 " "
absolute error = 1.433402008199635700000000000000E-14 " "
relative error = 1.49891756259143100000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2158356165485162 " "
Order of pole (three term test) = 22.841989675016492 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.549999999999906 " "
y[1] (analytic) = 2.428986257073817400E-2 " "
y[1] (numeric) = 2.42898625707241800E-2 " "
absolute error = 1.39957490041808800000000000000E-14 " "
relative error = 5.761971259994472000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2089739791114305 " "
Order of pole (three term test) = 22.8441720101996 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.559999999999906 " "
y[1] (analytic) = 3.903865342343859600E-2 " "
y[1] (numeric) = 3.9038653423425100E-2 " "
absolute error = 1.349614864309956000000000000000E-14 " "
relative error = 3.45712453160501300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.2020688187416666 " "
Order of pole (three term test) = 22.846341955227505 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5699999999999057 " "
y[1] (analytic) = 5.38092040394391200E-2 " "
y[1] (numeric) = 5.380920403942538000E-2 " "
absolute error = 1.373207103583240500000000000000E-14 " "
relative error = 2.551992968668997400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1951203840242501 " "
Order of pole (three term test) = 22.848499431982432 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5799999999999055 " "
y[1] (analytic) = 6.8601431568844800E-2 " "
y[1] (numeric) = 6.86014315688316300E-2 " "
absolute error = 1.31700206296159200000000000000E-14 " "
relative error = 1.91978801730969400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.188128925102082 " "
Order of pole (three term test) = 22.85064436279544 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5899999999999053 " "
y[1] (analytic) = 8.34152530566707500E-2 " "
y[1] (numeric) = 8.34152530566582700E-2 " "
absolute error = 1.247613123922519700000000000000E-14 " "
relative error = 1.495665454703967400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1810946936669284 " "
Order of pole (three term test) = 22.852776670449263 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.599999999999905 " "
y[1] (analytic) = 9.82505854435866700E-2 " "
y[1] (numeric) = 9.82505854435742300E-2 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 1.265590206883944700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1740179429503608 " "
Order of pole (three term test) = 22.85489627818104 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.609999999999905 " "
y[1] (analytic) = 0.11310734556666224 " "
y[1] (numeric) = 0.11310734556665039 " "
absolute error = 1.185163078787354600000000000000E-14 " "
relative error = 1.047821494572033200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.166898927714641 " "
Order of pole (three term test) = 22.857003109685134 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6199999999999046 " "
y[1] (analytic) = 0.12798545016012008 " "
y[1] (numeric) = 0.1279854501601081 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 9.368571701666655000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1597379042435474 " "
Order of pole (three term test) = 22.85909708911584 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6299999999999044 " "
y[1] (analytic) = 0.14288481585607982 " "
y[1] (numeric) = 0.14288481585606852 " "
absolute error = 1.129651927556096800000000000000E-14 " "
relative error = 7.906032007585287000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1525351303331541 " "
Order of pole (three term test) = 22.861178141090125 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.639999999999904 " "
y[1] (analytic) = 0.15780535918531413 " "
y[1] (numeric) = 0.157805359185303 " "
absolute error = 1.112998582186719400000000000000E-14 " "
relative error = 7.052983421682796000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.145290865282541 " "
Order of pole (three term test) = 22.86324619069033 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.649999999999904 " "
y[1] (analytic) = 0.17274699657799508 " "
y[1] (numeric) = 0.17274699657798429 " "
absolute error = 1.079691891447964700000000000000E-14 " "
relative error = 6.250134085315254000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1380053698844705 " "
Order of pole (three term test) = 22.8653011634669 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6599999999999038 " "
y[1] (analytic) = 0.1877096443644488 " "
y[1] (numeric) = 0.18770964436443854 " "
absolute error = 1.026956297778269800000000000000E-14 " "
relative error = 5.470983130650316000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.130678906415987 " "
Order of pole (three term test) = 22.867342985441034 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6699999999999036 " "
y[1] (analytic) = 0.20269321877590896 " "
y[1] (numeric) = 0.20269321877589855 " "
absolute error = 1.040834085586084300000000000000E-14 " "
relative error = 5.135021743064807000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1233117386289861 " "
Order of pole (three term test) = 22.86937158310738 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6799999999999033 " "
y[1] (analytic) = 0.21769763594526736 " "
y[1] (numeric) = 0.2176976359452575 " "
absolute error = 9.853229343548264000000000000000E-15 " "
relative error = 4.526107645020786000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1159041317407126 " "
Order of pole (three term test) = 22.87138688343661 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.689999999999903 " "
y[1] (analytic) = 0.23272281190783328 " "
y[1] (numeric) = 0.23272281190782387 " "
absolute error = 9.409140133698202000000000000000E-15 " "
relative error = 4.043067397030491000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.1084563524242137 " "
Order of pole (three term test) = 22.873388813878154 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.699999999999903 " "
y[1] (analytic) = 0.24776866260208608 " "
y[1] (numeric) = 0.247768662602077 " "
absolute error = 9.076073226310655000000000000000E-15 " "
relative error = 3.663123952396973000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.100968668798741 " "
Order of pole (three term test) = 22.875377302362725 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7099999999999027 " "
y[1] (analytic) = 0.2628351038704324 " "
y[1] (numeric) = 0.26283510387042375 " "
absolute error = 8.659739592076221000000000000000E-15 " "
relative error = 3.294742393445717000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0934413504200962 " "
Order of pole (three term test) = 22.87735227730495 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7199999999999025 " "
y[1] (analytic) = 0.27792205145996496 " "
y[1] (numeric) = 0.27792205145995597 " "
absolute error = 8.992806499463768000000000000000E-15 " "
relative error = 3.2357297494830830000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.085874668270926 " "
Order of pole (three term test) = 22.87931366760595 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7299999999999023 " "
y[1] (analytic) = 0.2930294210232167 " "
y[1] (numeric) = 0.29302942102320856 " "
absolute error = 8.1601392309949010000000000000E-15 " "
relative error = 2.784750828944365000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0782688947509742 " "
Order of pole (three term test) = 22.881261402655877 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.739999999999902 " "
y[1] (analytic) = 0.3081571281189268 " "
y[1] (numeric) = 0.30815712811891877 " "
absolute error = 8.049116928532385000000000000000E-15 " "
relative error = 2.612017115315923300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0706243036672631 " "
Order of pole (three term test) = 22.88319541233648 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.749999999999902 " "
y[1] (analytic) = 0.3233050882127937 " "
y[1] (numeric) = 0.32330508821278614 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.3351060167918256000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0629411702242486 " "
Order of pole (three term test) = 22.885115627023634 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7599999999999016 " "
y[1] (analytic) = 0.33847321667824004 " "
y[1] (numeric) = 0.3384732166782333 " "
absolute error = 6.716849298982197000000000000000E-15 " "
relative error = 1.9844551852288447000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0552197710139029 " "
Order of pole (three term test) = 22.887021977589807 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7699999999999014 " "
y[1] (analytic) = 0.3536614287971749 " "
y[1] (numeric) = 0.35366142879716767 " "
absolute error = 7.216449660063518000000000000000E-15 " "
relative error = 2.0404966650186096000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0474603840057635 " "
Order of pole (three term test) = 22.88891439540658 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.779999999999901 " "
y[1] (analytic) = 0.3688696397607505 " "
y[1] (numeric) = 0.3688696397607437 " "
absolute error = 6.772360450213455000000000000000E-15 " "
relative error = 1.8359766487168802000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0396632885369264 " "
Order of pole (three term test) = 22.890792812347122 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.789999999999901 " "
y[1] (analytic) = 0.3840977646701329 " "
y[1] (numeric) = 0.3840977646701264 " "
absolute error = 6.494804694057166000000000000000E-15 " "
relative error = 1.6909248872184848000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0318287653019855 " "
Order of pole (three term test) = 22.89265716078862 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.799999999999901 " "
y[1] (analytic) = 0.3993457185372611 " "
y[1] (numeric) = 0.39934571853725537 " "
absolute error = 5.717648576819556000000000000000E-15 " "
relative error = 1.4317540695721942000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0239570963429316 " "
Order of pole (three term test) = 22.894507373614747 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8099999999999006 " "
y[1] (analytic) = 0.414613416285615 " "
y[1] (numeric) = 0.4146134162856096 " "
absolute error = 5.384581669432009000000000000000E-15 " "
relative error = 1.2986993324216817000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0160485650389952 " "
Order of pole (three term test) = 22.896343384218028 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8199999999999004 " "
y[1] (analytic) = 0.42990077275097893 " "
y[1] (numeric) = 0.4299007727509732 " "
absolute error = 5.717648576819556000000000000000E-15 " "
relative error = 1.3299926260266384000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.008103456096451 " "
Order of pole (three term test) = 22.898165126502278 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8299999999999 " "
y[1] (analytic) = 0.445207702682207 " "
y[1] (numeric) = 0.44520770268220194 " "
absolute error = 5.051514762044462000000000000000E-15 " "
relative error = 1.1346422650845904000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.0001220555383632 " "
Order of pole (three term test) = 22.89997253488498 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8399999999999 " "
y[1] (analytic) = 0.4605341207419953 " "
y[1] (numeric) = 0.46053412074199046 " "
absolute error = 4.829470157119431000000000000000E-15 " "
relative error = 1.048667175699896000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9921046506942879 " "
Order of pole (three term test) = 22.90176554429962 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8499999999998997 " "
y[1] (analytic) = 0.4758799415076447 " "
y[1] (numeric) = 0.47587994150764024 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 9.33195899039439900000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.984051530189936 " "
Order of pole (three term test) = 22.903544090198057 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8599999999998995 " "
y[1] (analytic) = 0.49124507947183216 " "
y[1] (numeric) = 0.49124507947182855 " "
absolute error = 3.608224830031759000000000000000E-15 " "
relative error = 7.3450605020027550000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9759629839367739 " "
Order of pole (three term test) = 22.905308108552827 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8699999999998993 " "
y[1] (analytic) = 0.506629449043382 " "
y[1] (numeric) = 0.5066294490433779 " "
absolute error = 4.107825191113079000000000000000E-15 " "
relative error = 8.1081453098896570000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9678393031215934 " "
Order of pole (three term test) = 22.90705753585946 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.879999999999899 " "
y[1] (analytic) = 0.5220329645480299 " "
y[1] (numeric) = 0.5220329645480264 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 6.8055351291395920000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9596807801960283 " "
Order of pole (three term test) = 22.90879230913878 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.889999999999899 " "
y[1] (analytic) = 0.5374555402292018 " "
y[1] (numeric) = 0.5374555402291988 " "
absolute error = 2.9976021664879227000000000000000E-15 " "
relative error = 5.577395602266140000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9514877088660209 " "
Order of pole (three term test) = 22.910512365939105 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8999999999998987 " "
y[1] (analytic) = 0.552897090248781 " "
y[1] (numeric) = 0.5528970902487784 " "
absolute error = 2.55351295663786000000000000000E-15 " "
relative error = 4.6184235758753660000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9432603840812549 " "
Order of pole (three term test) = 22.91221764433859 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9099999999998984 " "
y[1] (analytic) = 0.5683575286878816 " "
y[1] (numeric) = 0.5683575286878795 " "
absolute error = 2.1094237467877974000000000000000E-15 " "
relative error = 3.71143803031455100000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9349991020245342 " "
Order of pole (three term test) = 22.913908082947405 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9199999999998982 " "
y[1] (analytic) = 0.5838367695476231 " "
y[1] (numeric) = 0.5838367695476205 " "
absolute error = 2.55351295663786000000000000000E-15 " "
relative error = 4.3736761537242850000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9267041601011194 " "
Order of pole (three term test) = 22.915583620909935 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.929999999999898 " "
y[1] (analytic) = 0.5993347267499002 " "
y[1] (numeric) = 0.5993347267498984 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 2.96388105029915360000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.918375856928026 " "
Order of pole (three term test) = 22.917244197907 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.939999999999898 " "
y[1] (analytic) = 0.6148513141381645 " "
y[1] (numeric) = 0.6148513141381629 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 2.7085158617120790000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9100144923232676 " "
Order of pole (three term test) = 22.918889754157995 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9499999999998976 " "
y[1] (analytic) = 0.630386445478193 " "
y[1] (numeric) = 0.6303864454781921 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 1.40894276212804450000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.9016203672950667 " "
Order of pole (three term test) = 22.92052023042308 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9599999999998974 " "
y[1] (analytic) = 0.6459400344588693 " "
y[1] (numeric) = 0.6459400344588688 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.87508415888937100000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8931937840310179 " "
Order of pole (three term test) = 22.922135568005288 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.969999999999897 " "
y[1] (analytic) = 0.6615119946929576 " "
y[1] (numeric) = 0.661511994692957 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.00698675174330220000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8847350458872089 " "
Order of pole (three term test) = 22.923735708752645 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.979999999999897 " "
y[1] (analytic) = 0.6771022397178796 " "
y[1] (numeric) = 0.6771022397178793 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.91900466207765230000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8762444573772996 " "
Order of pole (three term test) = 22.92532059506025 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9899999999998967 " "
y[1] (analytic) = 0.6927106829964953 " "
y[1] (numeric) = 0.6927106829964955 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.20544507794395750000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8677223241615588 " "
Order of pole (three term test) = 22.926890169872355 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9999999999998965 " "
y[1] (analytic) = 0.7083372379178804 " "
y[1] (numeric) = 0.708337237917881 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.83682520975882900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.859168953035862 " "
Order of pole (three term test) = 22.928444376684453 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.009999999999897 " "
y[1] (analytic) = 0.7239818177981062 " "
y[1] (numeric) = 0.7239818177981064 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.06699145567426300000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8505846519206465 " "
Order of pole (three term test) = 22.929983159545273 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.0199999999998965 " "
y[1] (analytic) = 0.7396443358810175 " "
y[1] (numeric) = 0.7396443358810181 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.50511408501985800000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8419697298498241 " "
Order of pole (three term test) = 22.931506463058778 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.029999999999896 " "
y[1] (analytic) = 0.7553247053390171 " "
y[1] (numeric) = 0.7553247053390183 " "
absolute error = 1.2212453270876722000000000000000E-15 " "
relative error = 1.6168481163866250000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8333244969596604 " "
Order of pole (three term test) = 22.933014232386217 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.039999999999896 " "
y[1] (analytic) = 0.7710228392738462 " "
y[1] (numeric) = 0.7710228392738471 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 1.1519482620470970000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8246492644776037 " "
Order of pole (three term test) = 22.93450641324805 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.049999999999896 " "
y[1] (analytic) = 0.7867386507173626 " "
y[1] (numeric) = 0.7867386507173643 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 2.11675698838394700000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8159443447110899 " "
Order of pole (three term test) = 22.935982951925947 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.059999999999896 " "
y[1] (analytic) = 0.8024720526323301 " "
y[1] (numeric) = 0.8024720526323321 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 2.490306594192250000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.8072100510362871 " "
Order of pole (three term test) = 22.93744379526465 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.0699999999998955 " "
y[1] (analytic) = 0.8182229579131965 " "
y[1] (numeric) = 0.8182229579131988 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.7137420525492950000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.798446697886826 " "
Order of pole (three term test) = 22.938888890673965 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.079999999999895 " "
y[1] (analytic) = 0.8339912793868792 " "
y[1] (numeric) = 0.833991279386882 " "
absolute error = 2.7755575615628914000000000000000E-15 " "
relative error = 3.32804146777575750000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7896546007424734 " "
Order of pole (three term test) = 22.940318186130625 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.089999999999895 " "
y[1] (analytic) = 0.8497769298135514 " "
y[1] (numeric) = 0.849776929813554 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 3.13557024863571950000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7808340761177763 " "
Order of pole (three term test) = 22.941731630180136 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.099999999999895 " "
y[1] (analytic) = 0.8655798218874234 " "
y[1] (numeric) = 0.8655798218874265 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 3.5913781610250420000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7719854415506684 " "
Order of pole (three term test) = 22.943129171938665 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.109999999999895 " "
y[1] (analytic) = 0.8813998682375327 " "
y[1] (numeric) = 0.8813998682375364 " "
absolute error = 3.6637359812630166000000000000000E-15 " "
relative error = 4.15672399473930860000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7631090155910393 " "
Order of pole (three term test) = 22.944510761094858 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.119999999999894 " "
y[1] (analytic) = 0.8972369814285278 " "
y[1] (numeric) = 0.8972369814285319 " "
absolute error = 4.107825191113079000000000000000E-15 " "
relative error = 4.5783057053364457000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7542051177892652 " "
Order of pole (three term test) = 22.94587634791166 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.129999999999894 " "
y[1] (analytic) = 0.9130910739614553 " "
y[1] (numeric) = 0.91309107396146 " "
absolute error = 4.773959005888173000000000000000E-15 " "
relative error = 5.2283492217006360000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7452740686847042 " "
Order of pole (three term test) = 22.947225883228096 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.139999999999894 " "
y[1] (analytic) = 0.9289620582745495 " "
y[1] (numeric) = 0.9289620582745537 " "
absolute error = 4.218847493575595000000000000000E-15 " "
relative error = 4.5414637293278320000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7363161897941597 " "
Order of pole (three term test) = 22.948559318461037 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.149999999999894 " "
y[1] (analytic) = 0.944849846744015 " "
y[1] (numeric) = 0.9448498467440197 " "
absolute error = 4.773959005888173000000000000000E-15 " "
relative error = 5.0526112930423800000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7273318036003054 " "
Order of pole (three term test) = 22.949876605606953 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.159999999999894 " "
y[1] (analytic) = 0.9607543516848224 " "
y[1] (numeric) = 0.9607543516848278 " "
absolute error = 5.440092820663267000000000000000E-15 " "
relative error = 5.6623140047435360000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7183212335400736 " "
Order of pole (three term test) = 22.951177697243658 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.169999999999893 " "
y[1] (analytic) = 0.9766754853514934 " "
y[1] (numeric) = 0.9766754853514992 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 5.9110316728929930000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.7092848039930123 " "
Order of pole (three term test) = 22.95246254653199 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.179999999999893 " "
y[1] (analytic) = 0.9926131599388902 " "
y[1] (numeric) = 0.9926131599388966 " "
absolute error = 6.439293542825908000000000000000E-15 " "
relative error = 6.4872135517751340000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.70022284026961 " "
Order of pole (three term test) = 22.953731107217514 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.189999999999893 " "
y[1] (analytic) = 1.0085672875830087 " "
y[1] (numeric) = 1.008567287583015 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 6.1644364381480840000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6911356685995814 " "
Order of pole (three term test) = 22.95498333363218 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.199999999999893 " "
y[1] (analytic) = 1.0245377803617641 " "
y[1] (numeric) = 1.024537780361771 " "
absolute error = 6.8833827526759700000000000000000E-15 " "
relative error = 6.7185250603891330000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6820236161201265 " "
Order of pole (three term test) = 22.95621918069596 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.2099999999998925 " "
y[1] (analytic) = 1.040524550295789 " "
y[1] (numeric) = 1.040524550295796 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 6.8286974637755050000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6728870108641504 " "
Order of pole (three term test) = 22.957438603918526 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.219999999999892 " "
y[1] (analytic) = 1.0565275093492188 " "
y[1] (numeric) = 1.0565275093492266 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 7.3557584668695320000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6637261817484537 " "
Order of pole (three term test) = 22.958641559400743 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.229999999999892 " "
y[1] (analytic) = 1.072546569430489 " "
y[1] (numeric) = 1.0725465694304972 " "
absolute error = 8.215650382226158000000000000000E-15 " "
relative error = 7.6599474711746850000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6545414585618973 " "
Order of pole (three term test) = 22.95982800383636 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.239999999999892 " "
y[1] (analytic) = 1.0885816423931254 " "
y[1] (numeric) = 1.0885816423931332 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 7.1391624382817850000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6453331719535216 " "
Order of pole (three term test) = 22.960997894513493 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.249999999999892 " "
y[1] (analytic) = 1.1046326400365356 " "
y[1] (numeric) = 1.104632640036544 " "
absolute error = 8.43769498715119000000000000000E-15 " "
relative error = 7.6384624909074870000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6361016534206528 " "
Order of pole (three term test) = 22.96215118931622 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.259999999999891 " "
y[1] (analytic) = 1.1206994741068086 " "
y[1] (numeric) = 1.1206994741068175 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 7.9252149235458390000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6268472352969594 " "
Order of pole (three term test) = 22.963287846726043 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.269999999999891 " "
y[1] (analytic) = 1.1367820562975033 " "
y[1] (numeric) = 1.1367820562975128 " "
absolute error = 9.547918011776346000000000000000E-15 " "
relative error = 8.3990752307209130000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6175702507404947 " "
Order of pole (three term test) = 22.96440782582341 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.279999999999891 " "
y[1] (analytic) = 1.1528802982504465 " "
y[1] (numeric) = 1.1528802982504567 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 8.8595943933223380000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.6082710337217011 " "
Order of pole (three term test) = 22.965511086289208 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.289999999999890 " "
y[1] (analytic) = 1.1689941115565279 " "
y[1] (numeric) = 1.1689941115565377 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 8.3575806927654840000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5989499190113856 " "
Order of pole (three term test) = 22.966597588406174 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.299999999999890 " "
y[1] (analytic) = 1.185123407756492 " "
y[1] (numeric) = 1.1851234077565025 " "
absolute error = 1.043609643147647100000000000000E-14 " "
relative error = 8.8059153698032280000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5896072421686738 " "
Order of pole (three term test) = 22.967667293060362 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.30999999999989 " "
y[1] (analytic) = 1.2012680983417408 " "
y[1] (numeric) = 1.2012680983417516 " "
absolute error = 1.088018564132653400000000000000E-14 " "
relative error = 9.0572501312120110000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.58024333952892 " "
Order of pole (three term test) = 22.968720161742485 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.31999999999989 " "
y[1] (analytic) = 1.2174280947551253 " "
y[1] (numeric) = 1.2174280947551364 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 9.1194135358644580000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5708585481916111 " "
Order of pole (three term test) = 22.96975615654943 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.32999999999989 " "
y[1] (analytic) = 1.2336033083917437 " "
y[1] (numeric) = 1.2336033083917555 " "
absolute error = 1.17683640610266600000000000000E-14 " "
relative error = 9.5398285502080470000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5614532060082186 " "
Order of pole (three term test) = 22.970775240185457 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.33999999999989 " "
y[1] (analytic) = 1.2497936505997411 " "
y[1] (numeric) = 1.2497936505997527 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 9.2385806653449320000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.552027651570047 " "
Order of pole (three term test) = 22.97177737596369 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.3499999999998895 " "
y[1] (analytic) = 1.2659990326811021 " "
y[1] (numeric) = 1.2659990326811144 " "
absolute error = 1.221245327087672200000000000000E-14 " "
relative error = 9.6464949463772350000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5425822241960376 " "
Order of pole (three term test) = 22.972762527807337 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.359999999999890 " "
y[1] (analytic) = 1.2822193658924563 " "
y[1] (numeric) = 1.2822193658924688 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 9.6976369305941930000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5331172639205561 " "
Order of pole (three term test) = 22.97373066025104 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.369999999999889 " "
y[1] (analytic) = 1.2984545614458705 " "
y[1] (numeric) = 1.2984545614458833 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 9.9183964291450450000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5236331114811505 " "
Order of pole (three term test) = 22.974681738442143 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.379999999999889 " "
y[1] (analytic) = 1.314704530509651 " "
y[1] (numeric) = 1.3147045305096647 " "
absolute error = 1.376676550535194000000000000000E-14 " "
relative error = 1.0471376028509763000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5141301083062836 " "
Order of pole (three term test) = 22.975615728141918 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.389999999999889 " "
y[1] (analytic) = 1.3309691842091445 " "
y[1] (numeric) = 1.330969184209158 " "
absolute error = 1.35447209004269100000000000000E-14 " "
relative error = 1.0176584898526497000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.5046085965030437 " "
Order of pole (three term test) = 22.976532595726855 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.3999999999998884 " "
y[1] (analytic) = 1.3472484336275325 " "
y[1] (numeric) = 1.3472484336275465 " "
absolute error = 1.398881011027697200000000000000E-14 " "
relative error = 1.0383244664542984000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49506891884482684 " "
Order of pole (three term test) = 22.977432308189805 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.409999999999888 " "
y[1] (analytic) = 1.363542189806638 " "
y[1] (numeric) = 1.3635421898066524 " "
absolute error = 1.443289932012703500000000000000E-14 " "
relative error = 1.0584857166886595000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4855114187589992 " "
Order of pole (three term test) = 22.978314833141223 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.419999999999888 " "
y[1] (analytic) = 1.3798503637477222 " "
y[1] (numeric) = 1.3798503637477368 " "
absolute error = 1.465494392505206600000000000000E-14 " "
relative error = 1.0620676205243533000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4759364403145318 " "
Order of pole (three term test) = 22.97918013881031 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.429999999999888 " "
y[1] (analytic) = 1.3961728664122854 " "
y[1] (numeric) = 1.396172866412301 " "
absolute error = 1.55431223447521920000000000000E-14 " "
relative error = 1.113266323868119000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46634432820961413 " "
Order of pole (three term test) = 22.98002819404615 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.439999999999888 " "
y[1] (analytic) = 1.4125096087228726 " "
y[1] (numeric) = 1.4125096087228877 " "
absolute error = 1.50990331349021300000000000000E-14 " "
relative error = 1.068950826363156000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4567354277592453 " "
Order of pole (three term test) = 22.980858968318845 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.449999999999887 " "
y[1] (analytic) = 1.428860501563867 " "
y[1] (numeric) = 1.428860501563883 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 1.1188784025525575000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44711008488280496 " "
Order of pole (three term test) = 22.981672431720614 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.459999999999887 " "
y[1] (analytic) = 1.4452254557823014 " "
y[1] (numeric) = 1.4452254557823179 " "
absolute error = 1.643130076445231700000000000000E-14 " "
relative error = 1.1369368494521877000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4374686460915969 " "
Order of pole (three term test) = 22.982468554966864 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.469999999999887 " "
y[1] (analytic) = 1.4616043821886553 " "
y[1] (numeric) = 1.4616043821886717 " "
absolute error = 1.643130076445231700000000000000E-14 " "
relative error = 1.1241961891115526000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4278114584763761 " "
Order of pole (three term test) = 22.983247309397242 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.479999999999887 " "
y[1] (analytic) = 1.4779971915576566 " "
y[1] (numeric) = 1.4779971915576737 " "
absolute error = 1.70974345792274100000000000000E-14 " "
relative error = 1.1567975011649702000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41813886969485337 " "
Order of pole (three term test) = 22.984008666976667 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.4899999999998865 " "
y[1] (analytic) = 1.4944037946290898 " "
y[1] (numeric) = 1.4944037946291064 " "
absolute error = 1.665334536937734800000000000000E-14 " "
relative error = 1.1143805596070974000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40845122795918043 " "
Order of pole (three term test) = 22.98475260029636 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.499999999999886 " "
y[1] (analytic) = 1.5108241021085917 " "
y[1] (numeric) = 1.510824102108609 " "
absolute error = 1.731947918415244200000000000000E-14 " "
relative error = 1.1463597357217424000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3987488820234142 " "
Order of pole (three term test) = 22.985479082574788 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.509999999999886 " "
y[1] (analytic) = 1.5272580246684635 " "
y[1] (numeric) = 1.5272580246684815 " "
absolute error = 1.798561299892753600000000000000E-14 " "
relative error = 1.1776407593492164000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38903218117095956 " "
Order of pole (three term test) = 22.98618808765868 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.519999999999886 " "
y[1] (analytic) = 1.5437054729484694 " "
y[1] (numeric) = 1.5437054729484876 " "
absolute error = 1.820765760385256700000000000000E-14 " "
relative error = 1.1794774277165733000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37930147520199875 " "
Order of pole (three term test) = 22.986879590023918 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.529999999999886 " "
y[1] (analytic) = 1.5601663575566411 " "
y[1] (numeric) = 1.56016635755666 " "
absolute error = 1.88737914186276600000000000000E-14 " "
relative error = 1.209729419379719000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3695571144208947 " "
Order of pole (three term test) = 22.987553564776512 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.5399999999998855 " "
y[1] (analytic) = 1.5766405890700856 " "
y[1] (numeric) = 1.576640589070104 " "
absolute error = 1.8429702208777599000000000000E-14 " "
relative error = 1.1689222221310168000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3597994496235832 " "
Order of pole (three term test) = 22.98820998765342 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.549999999999885 " "
y[1] (analytic) = 1.5931280780357844 " "
y[1] (numeric) = 1.5931280780358035 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 1.198637842545373000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35002883208494395 " "
Order of pole (three term test) = 22.9888488350235 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.559999999999885 " "
y[1] (analytic) = 1.609628734971405 " "
y[1] (numeric) = 1.6096287349714247 " "
absolute error = 1.976196983832778600000000000000E-14 " "
relative error = 1.2277346576245644000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.34024561354615307 " "
Order of pole (three term test) = 22.989470083888314 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.569999999999885 " "
y[1] (analytic) = 1.626142470366102 " "
y[1] (numeric) = 1.6261424703661223 " "
absolute error = 2.02060590481778500000000000000E-14 " "
relative error = 1.2425761836002447000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3304501462020208 " "
Order of pole (three term test) = 22.990073711882967 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.579999999999885 " "
y[1] (analytic) = 1.6426691946813239 " "
y[1] (numeric) = 1.6426691946813448 " "
absolute error = 2.087219286295294300000000000000E-14 " "
relative error = 1.2706266685059572000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.320642782688314 " "
Order of pole (three term test) = 22.99065969727693 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.589999999999884 " "
y[1] (analytic) = 1.6592088183516203 " "
y[1] (numeric) = 1.6592088183516407 " "
absolute error = 2.04281036531028800000000000000E-14 " "
relative error = 1.2311954605808845000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31082387606905915 " "
Order of pole (three term test) = 22.991228018974788 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.599999999999884 " "
y[1] (analytic) = 1.675761251785443 " "
y[1] (numeric) = 1.675761251785464 " "
absolute error = 2.109423746787797400000000000000E-14 " "
relative error = 1.2587853696583018000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30099377982383513 " "
Order of pole (three term test) = 22.991778656517 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.609999999999884 " "
y[1] (analytic) = 1.6923264053659597 " "
y[1] (numeric) = 1.6923264053659812 " "
absolute error = 2.153832667772803700000000000000E-14 " "
relative error = 1.2727052304706224000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2911528478350448 " "
Order of pole (three term test) = 22.99231159008069 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.619999999999884 " "
y[1] (analytic) = 1.7089041894518553 " "
y[1] (numeric) = 1.7089041894518773 " "
absolute error = 2.1982415887578100000000000000E-14 " "
relative error = 1.2863457192781028000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28130143437517724 " "
Order of pole (three term test) = 22.99282680048031 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.6299999999998835 " "
y[1] (analytic) = 1.7254945143781404 " "
y[1] (numeric) = 1.7254945143781626 " "
absolute error = 2.22044604925031300000000000000E-14 " "
relative error = 1.2868461943795578000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2714398940940525 " "
Order of pole (three term test) = 22.993324269168344 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.639999999999883 " "
y[1] (analytic) = 1.742097290456958 " "
y[1] (numeric) = 1.7420972904569803 " "
absolute error = 2.22044604925031300000000000000E-14 " "
relative error = 1.2745821151400116000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26156858200605504 " "
Order of pole (three term test) = 22.99380397823596 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.649999999999883 " "
y[1] (analytic) = 1.7587124279783901 " "
y[1] (numeric) = 1.7587124279784125 " "
absolute error = 2.242650509742816200000000000000E-14 " "
relative error = 1.2751661238447634000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2516878534773553 " "
Order of pole (three term test) = 22.99426591041369 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.659999999999883 " "
y[1] (analytic) = 1.775339837211266 " "
y[1] (numeric) = 1.7753398372112894 " "
absolute error = 2.331468351712828700000000000000E-14 " "
relative error = 1.313251864710668000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2417980642131128 " "
Order of pole (three term test) = 22.994710049072033 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.669999999999883 " "
y[1] (analytic) = 1.7919794284039712 " "
y[1] (numeric) = 1.791979428403995 " "
absolute error = 2.37587727269783500000000000000E-14 " "
relative error = 1.3258395911463744000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23189957024467286 " "
Order of pole (three term test) = 22.995136378222032 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.6799999999998825 " "
y[1] (analytic) = 1.808631111785251 " "
y[1] (numeric) = 1.8086311117852756 " "
absolute error = 2.464695114667847500000000000000E-14 " "
relative error = 1.362740637716341000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22199272791674915 " "
Order of pole (three term test) = 22.995544882515897 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.689999999999882 " "
y[1] (analytic) = 1.8252947975650244 " "
y[1] (numeric) = 1.8252947975650484 " "
absolute error = 2.39808173319033800000000000000E-14 " "
relative error = 1.3138051652749033000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21207789387459494 " "
Order of pole (three term test) = 22.995935547247498 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.699999999999882 " "
y[1] (analytic) = 1.841970395935184 " "
y[1] (numeric) = 1.8419703959352087 " "
absolute error = 2.464695114667847500000000000000E-14 " "
relative error = 1.3380753133203865000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20215542505116638 " "
Order of pole (three term test) = 22.996308358352966 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.709999999999882 " "
y[1] (analytic) = 1.8586578170704133 " "
y[1] (numeric) = 1.8586578170704384 " "
absolute error = 2.509104035652854000000000000000E-14 " "
relative error = 1.3499547967401893000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19222567865426873 " "
Order of pole (three term test) = 22.99666330241113 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.719999999999882 " "
y[1] (analytic) = 1.8753569711289892 " "
y[1] (numeric) = 1.8753569711290148 " "
absolute error = 2.5535129566378600000000000000E-14 " "
relative error = 1.3616143464679217000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18228901215369994 " "
Order of pole (three term test) = 22.997000366644052 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.729999999999881 " "
y[1] (analytic) = 1.8920677682535925 " "
y[1] (numeric) = 1.8920677682536187 " "
absolute error = 2.620126338115369400000000000000E-14 " "
relative error = 1.3847951865560218000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17234578326838076 " "
Order of pole (three term test) = 22.997319538917452 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.739999999999881 " "
y[1] (analytic) = 1.9087901185721177 " "
y[1] (numeric) = 1.9087901185721434 " "
absolute error = 2.575717417130363000000000000000E-14 " "
relative error = 1.3493979207400470000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1623963499534764 " "
Order of pole (three term test) = 22.997620807741157 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.749999999999881 " "
y[1] (analytic) = 1.9255239321984772 " "
y[1] (numeric) = 1.9255239321985036 " "
absolute error = 2.642330798607872600000000000000E-14 " "
relative error = 1.3722658827672826000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1524410703875131 " "
Order of pole (three term test) = 22.997904162269528 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.759999999999880 " "
y[1] (analytic) = 1.9422691192334167 " "
y[1] (numeric) = 1.9422691192334438 " "
absolute error = 2.70894418008538200000000000000E-14 " "
relative error = 1.3947316328411585000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1424803029594798 " "
Order of pole (three term test) = 22.998169592301824 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.769999999999880 " "
y[1] (analytic) = 1.9590255897653213 " "
y[1] (numeric) = 1.9590255897653484 " "
absolute error = 2.70894418008538200000000000000E-14 " "
relative error = 1.3828018348703122000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1325144062559276 " "
Order of pole (three term test) = 22.998417088282615 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.77999999999988 " "
y[1] (analytic) = 1.9757932538710223 " "
y[1] (numeric) = 1.9757932538710499 " "
absolute error = 2.753353101070388000000000000000E-14 " "
relative error = 1.3935431228322860000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12254373904806196 " "
Order of pole (three term test) = 22.998646641302045 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.78999999999988 " "
y[1] (analytic) = 1.9925720216166114 " "
y[1] (numeric) = 1.9925720216166387 " "
absolute error = 2.73114864057788500000000000000E-14 " "
relative error = 1.3706649551176840000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11256866027882437 " "
Order of pole (three term test) = 22.998858243096247 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.79999999999988 " "
y[1] (analytic) = 2.009361803058245 " "
y[1] (numeric) = 2.009361803058273 " "
absolute error = 2.797762022055394500000000000000E-14 " "
relative error = 1.3923634946166520000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1025895290499749 " "
Order of pole (three term test) = 22.99905188604757 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.80999999999988 " "
y[1] (analytic) = 2.026162508242958 " "
y[1] (numeric) = 2.0261625082429866 " "
absolute error = 2.84217094304040100000000000000E-14 " "
relative error = 1.4027359264016123000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.26067046091592500E-2 " "
Order of pole (three term test) = 22.9992275631849 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.8199999999998795 " "
y[1] (analytic) = 2.042974047209472 " "
y[1] (numeric) = 2.042974047209501 " "
absolute error = 2.88657986402540700000000000000E-14 " "
relative error = 1.4129302660345727000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.26205463369793400E-2 " "
Order of pole (three term test) = 22.99938526818386 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.829999999999880 " "
y[1] (analytic) = 2.0597963299890027 " "
y[1] (numeric) = 2.0597963299890325 " "
absolute error = 2.975397705995419500000000000000E-14 " "
relative error = 1.444510635675958000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.26314137340542400E-2 " "
Order of pole (three term test) = 22.999524995367107 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.839999999999879 " "
y[1] (analytic) = 2.076629266606074 " "
y[1] (numeric) = 2.076629266606104 " "
absolute error = 2.975397705995419500000000000000E-14 " "
relative error = 1.4328015856476115000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.26396664080780800E-2 " "
Order of pole (three term test) = 22.999646739704467 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.849999999999879 " "
y[1] (analytic) = 2.0934727670793225 " "
y[1] (numeric) = 2.0934727670793527 " "
absolute error = 3.01980662698042600000000000000E-14 " "
relative error = 1.4424867017465262000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.264566406087713000E-2 " "
Order of pole (three term test) = 22.999750496813167 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.859999999999879 " "
y[1] (analytic) = 2.110326741422312 " "
y[1] (numeric) = 2.1103267414223423 " "
absolute error = 3.01980662698042600000000000000E-14 " "
relative error = 1.430966384354844000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.264976647545564700E-2 " "
Order of pole (three term test) = 22.999836262957942 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.869999999999878 " "
y[1] (analytic) = 2.1271910996443406 " "
y[1] (numeric) = 2.1271910996443713 " "
absolute error = 3.06421554796543200000000000000E-14 " "
relative error = 1.4404984810616023000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.265233350304721500E-2 " "
Order of pole (three term test) = 22.99990403505124 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.879999999999878 " "
y[1] (analytic) = 2.144065751751252 " "
y[1] (numeric) = 2.144065751751283 " "
absolute error = 3.10862446895043830000000000000E-14 " "
relative error = 1.4498736647471488000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.265372505015915400E-2 " "
Order of pole (three term test) = 22.999953810653263 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.889999999999878 " "
y[1] (analytic) = 2.1609506077462455 " "
y[1] (numeric) = 2.160950607746276 " "
absolute error = 3.06421554796543200000000000000E-14 " "
relative error = 1.4179942553898733000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.265430106561515300E-2 " "
Order of pole (three term test) = 22.999985587972105 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.899999999999878 " "
y[1] (analytic) = 2.177845577630683 " "
y[1] (numeric) = 2.177845577630714 " "
absolute error = 3.10862446895043830000000000000E-14 " "
relative error = 1.4273851648987743000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.654421527600173000E-3 " "
Order of pole (three term test) = 22.999999365863772 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.909999999999878 " "
y[1] (analytic) = 2.194750571404904 " "
y[1] (numeric) = 2.1947505714049353 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.4366249317876356000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.345553569303115000E-3 " "
Order of pole (three term test) = 22.999995143832262 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.919999999999877 " "
y[1] (analytic) = 2.2116654990690314 " "
y[1] (numeric) = 2.211665499069064 " "
absolute error = 3.24185123190545700000000000000E-14 " "
relative error = 1.4657963572113720000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.734526422707123300E-2 " "
Order of pole (three term test) = 22.99997292202959 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.929999999999877 " "
y[1] (analytic) = 2.228590270623785 " "
y[1] (numeric) = 2.2285902706238176 " "
absolute error = 3.286260152890463400000000000000E-14 " "
relative error = 1.4745914474313107000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.734435045720044500E-2 " "
Order of pole (three term test) = 22.9999327012557 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.939999999999877 " "
y[1] (analytic) = 2.245524796071288 " "
y[1] (numeric) = 2.2455247960713205 " "
absolute error = 3.24185123190545700000000000000E-14 " "
relative error = 1.4436942480338297000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.73424522936671300E-2 " "
Order of pole (three term test) = 22.999874482958575 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.949999999999877 " "
y[1] (analytic) = 2.2624689854158775 " "
y[1] (numeric) = 2.262468985415911 " "
absolute error = 3.330669073875469600000000000000E-14 " "
relative error = 1.4721391079149934000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.73392098058834700E-2 " "
Order of pole (three term test) = 22.999798269234045 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.9599999999998765 " "
y[1] (analytic) = 2.279422748664918 " "
y[1] (numeric) = 2.2794227486649516 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.4806722433727115000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.73342631116594300E-2 " "
Order of pole (three term test) = 22.99970406282579 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.969999999999876 " "
y[1] (analytic) = 2.296385995829608 " "
y[1] (numeric) = 2.2963859958296418 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.4697346182174276000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.73272523901555300E-2 " "
Order of pole (three term test) = 22.99959186712526 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.979999999999876 " "
y[1] (analytic) = 2.3133586369257895 " "
y[1] (numeric) = 2.313358636925824 " "
absolute error = 3.463895836830488400000000000000E-14 " "
relative error = 1.497344934563904000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.73178178948369300E-2 " "
Order of pole (three term test) = 22.999461686171458 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.989999999999876 " "
y[1] (analytic) = 2.330340581974762 " "
y[1] (numeric) = 2.330340581974796 " "
absolute error = 3.41948691584548200000000000000E-14 " "
relative error = 1.4673764608895767000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.73055999664250400E-2 " "
Order of pole (three term test) = 22.9993135246509 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.999999999999876 " "
y[1] (analytic) = 2.347331741004085 " "
y[1] (numeric) = 2.3473317410041195 " "
absolute error = 3.463895836830488400000000000000E-14 " "
relative error = 1.4756737517419616000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.72902390458426500E-2 " "
Order of pole (three term test) = 22.999147387897377 " "
"NO COMPLEX POLE (six term test) for Equation 1"
"Finished!"
"diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) + ( 0.1 * x + 0.2 ) ; "
Iterations = 1001
"Total Elapsed Time "= 27 Seconds
"Elapsed Time(since restart) "= 26 Seconds
"Time to Timeout "= 9 Minutes 32 Seconds
Percent Done = 100.19999999999875 "%"
(%o228) true
(%o228) diffeq.max